Question

Which logarithmic equation has the same solution as x-4=2^3

Answer 1

log₁₀ (10¹²)

Explanation:

First you should find the solution to the given equation

x-4=2³

x-4=8

x=8+4=12

Now observe the behavior of logarithmic equations with the base 10

log₁₀ 100=2

log₁₀ 10000=4

log₁₀ 1000000=6

To get the answer to

log₁₀ y=12

Then y=10¹².........................how?

check for the first case

log₁₀ 100=2 this can be written as

10²=100

This means to get y in log₁₀y=12 you should rise the base to power 12

y=10¹²

This is to say that

log₁₀ (10¹²) = 12