# FRANK Solutions for Class 9 Maths Chapter 10 - Logarithms

Revise textbook problems using Frank Solutions for ICSE Class 9 Mathematics Chapter 10 Logarithms available on TopperLearning. Learn the different laws of logarithm by practising the steps and applying them in Maths problems. Also, understand how to write complete steps to score good marks in logarithm-based problem with the help of our expertly created chapter solutions.

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## Chapter 10 - Logarithms Exercise Ex. 10.1

## Chapter 10 - Logarithms Exercise Ex. 10.2

(vi) log 12^{8}

(vi)

(vi) log 250

(vi)

(vi)

(vi)

(viii)

(viii)

Express log_{10}3 + 1 in terms of log_{10}x.

State, true of false:

log (x + y) = log xy

False, since log xy = logx + logy

State, true of false:

log 4 x log 1 = 0

True, since log 1= 0 and anything multiplied by 0 is 0.

State, true of false:

log_{b}a
=-log_{a}b

State, true of false:

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 12

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 75

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 720

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 2.25

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

If 2 log x + 1 = 40, find: x

If 2 log x + 1 = 40, find: log 5x

If log_{10}25 = x and log_{10}27 = y;
evaluate without using logarithmic tables, in terms of x and y:

log_{10}5

If log_{10}25 = x and log_{10}27 = y;
evaluate without using logarithmic tables, in terms of x and y:

log_{10}3

Simplify:

log a^{2} + log a^{-1}

Simplify:

log b ÷ log b^{2}

Find the value of:

Find the value of:

Find the value of:

Prove that:

Prove that:

If a = log 20 b = log 25 and 2 log (p - 4) = 2a - b, find the value of 'p'.

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