Indices, Surds, Logarithms III (Lowersixth Science Mathematics)

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Indices, Surds, Logarithms III (Lowersixth Science Mathematics)


Froggy Jumps Indices, Surds, Logarithms III (Lowersixth Science Mathematics)Version en ligne Challenging logarithm quest for learners par YAKILI LMS 1 What is the base of the natural logarithm? a i b 10 c e 2 What is ln(e) equal to? a 1 b e c 0 3 The number e is approximately: a 2.302 b 3.141 c 2.718 4 If log_b(x)=y, then b^y equals: a x b b c log_b(x) 5 Which property relates log(ab)? a log(a) + log(b) b log(a-b) c log(a)/log(b) 6 Natural log is the inverse of: a log base 10 b exponential function c square function 7 What is the derivative of ln(x)? a x b 1/x c 1/x^2 8 Which law: ln(xy)=ln(x)+ln(y)? a Product property b Power property c Quotient property 9 Which law: ln(x^a)=a ln(x)? a Sum property b Inverse property c Power property 10 If ln(a)=3, then e^3 equals: a a b e c ln(a) 11 What is log_b(1)? a 1 b 0 c b 12 Which base gives log base 10? a Binary logarithm b Common logarithm c Natural logarithm 13 The natural log function is defined for: a all real x b x<0 c x>0 14 e^x grows: a Exponentially b Logarithmically c Linearly 15 Which is approximately equal to ln(2)? a 1.0 b 1.693 c 0.693 16 If log_e(x)=y, then x equals: a y^e b e^y c e^x 17 The inverse of ln(x) is: a ex b log(x) c x^e 18 What is the value of log_e(e^2)? a 1/2 b 2 c e^2 19 If log(a)=b, then a equals: a b^e b ln(b) c e^b 20 Which statement is true about logarithms? a They convert multiplication to addition b They convert addition to subtraction c They square numbers 21 What is ln(1)? a 0 b 1 c ln(0) 22 The derivative of ln(x) is: a 1/x b x c ln(x) 23 If ln(a/b)=ln(a)-ln(b), this is an example of: a Quotient property b Power property c Product property 24 What is log_2(8)? a 3 b 2 c 8 25 Which base is used for natural logs? a e b 10 c 2.7182818 26 If log_b(x)=y, what is x in terms of b and y? a b^y b log_b(y) c y^b 27 Which property states log_b(1)=0? a Logarithm of b b Logarithm of 1 c Logarithm of 0 28 What is ln(e^k)? a ln(k) b e^k c k 29 Which function is the inverse of e^x? a log_2(x) b exp(x) c ln(x) 30 The formula log_b(xy)=log_b(x)+log_b(y) is valid if: a x<0 or y<0 b x>1, y>1 c x>0, y>0 31 What is log_10(100)? a 10 b -2 c 2 32 Natural log is often denoted by: a ln b log_e c log 33 Which of these is e approximately equal to? a 2.5 b 3.14 c 2.718 34 If ln(x)=0, then x must be: a 0 b 1 c e 35 What is log_e(e) equal to? a e b 0 c 1 36 Which is a property of exponential growth? a Constant absolute growth b Declining growth c Constant relative growth rate 37 Which is true about logarithms with different bases? a Bases must be equal b They are identical c They relate by change of base formula 38 What does ln(a^b) equal? a a^b b ln(a^b) c b ln(a) 39 Which is the classic natural base? a e b pi c i 40 What is the integral of 1/x? a ln\|x\| + C b x + C c e^x + C 41 Which law does log(ab^2)=log(a)+2log(b) illustrate? a Inverse property b Product and power properties c Quotient property 42 If ln(a) > ln(b), then a: a equals b b exceedsb c is less than b 43 What is log_b(b^k)? a k b 1/k c b^k 44 Common logarithm uses which base? a 10 b 2 c e 45 What is the domain of ln(x)? a x>=0 b x<0 c x>0 46 Which statement is true about e? a A prime number b A geometric constant c Base of natural logarithms 47 ln(a) is undefined for: a a<=0 b a=1 c a>0 48 Which is the identity for log_b(1)? a 0 b 1 c b 49 What is e^0? a 1 b 0 c e 50 Natural logs help solve equations with: a Linear movement b Exponential growth/decay c Arithmetic sequences

Indices, Surds, Logarithms III (Lowersixth Science Mathematics)

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Indices, Surds, Logarithms III (Lowersixth Science Mathematics)Version en ligne

par YAKILI LMS

What is the base of the natural logarithm?

What is ln(e) equal to?

The number e is approximately:

If log_b(x)=y, then b^y equals:

Which property relates log(ab)?

Natural log is the inverse of:

What is the derivative of ln(x)?

Which law: ln(xy)=ln(x)+ln(y)?

Which law: ln(x^a)=a ln(x)?

If ln(a)=3, then e^3 equals:

What is log_b(1)?

Which base gives log base 10?

The natural log function is defined for:

e^x grows:

Which is approximately equal to ln(2)?

If log_e(x)=y, then x equals:

The inverse of ln(x) is:

What is the value of log_e(e^2)?

If log(a)=b, then a equals:

Which statement is true about logarithms?

What is ln(1)?

The derivative of ln(x) is:

If ln(a/b)=ln(a)-ln(b), this is an example of:

What is log_2(8)?

Which base is used for natural logs?

If log_b(x)=y, what is x in terms of b and y?

Which property states log_b(1)=0?

What is ln(e^k)?

Which function is the inverse of e^x?

The formula log_b(xy)=log_b(x)+log_b(y) is valid if:

What is log_10(100)?

Natural log is often denoted by:

Which of these is e approximately equal to?

If ln(x)=0, then x must be:

What is log_e(e) equal to?

Which is a property of exponential growth?

Which is true about logarithms with different bases?

What does ln(a^b) equal?

Which is the classic natural base?

What is the integral of 1/x?

Which law does log(ab^2)=log(a)+2log(b) illustrate?

If ln(a) > ln(b), then a:

What is log_b(b^k)?

Common logarithm uses which base?

What is the domain of ln(x)?

Which statement is true about e?

ln(a) is undefined for:

Which is the identity for log_b(1)?

What is e^0?

Natural logs help solve equations with: