(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Express the following in logarithmic form:

5³ = 125

Express the following in logarithmic form:
10^–3 = 0.001

Express the following in logarithmic form:

`3^-2 = 1/9`

Express the following in logarithmic form : `(81)^(3/4) = 27` 

Express the following in exponential form : log₈0.125 = -1

Express the following in exponential form : 
log₁₀0.01 = - 2

Express the following in exponential form : log_aA = x

Express the following in exponential form : log₁₀1 = 0

Solve for x : log₁₀ x = -2.

Find the logarithm of : 100 to the base 10

Find the logarithm of : 0.1 to the base 10

Find the logarithm of : 0.001 to the base 10

Find the logarithm of : 32 to the base 4

Find the logarithm of : 0.125 to the base 2

Find the logarithm of : `1/16` to the base 4

Find the logarithm of : 27 to the base 9

Find the logarithm of : `1/81` to the base 27

State, true or false : If log₁₀ x = a, then 10^x = a.

State, true or false : If x^y = z, then y = log_zx .

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`