Write the following in logarithmic form: i. 8^3 = 512 ii. 32^(3/5) = 8 iii. 7^-2 = 1/49 iv. 10^-2 = 0.01

Question

Write the following in logarithmic form:

i. 8³  = 512 

ii. 32^3/5 = 8 

iii. 7^-2  = \(\cfrac{1}{49}\)

iv. 10^-2  = 0.01

Answer 1

i. 8³ = 512

\(\therefore\) 3 = log₈ 512 ….[By definition of logarithm]

ii. 32^{\(^\frac{3}{5}\)} = 8 

\(\therefore\) \(^\cfrac{3}{5}\) = log₃₂ 8 ….[By definition of logarithm]