Question

Express the following exponential functions in logarithmic form.


1. 10^8 = 100, 000, 000


2. 10^-4 = 0.0001

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇒ x = $b^{n}$

(1)

$10^{8}$ = 100,000,000 ( with b = 10 and n = 8 )

$log_{10}$ (100,000,000) = 8

(2)

$10^{-4}$ = 0.0001 ( with b = 10 and n = - 4 )

$log_{10}$ (0.0001) = - 4