482,066 views
9 votes
9 votes
Please help: write the equation in logarithmic form 1/64 = (1/4)^3

Please help: write the equation in logarithmic form 1/64 = (1/4)^3-example-1
User Deesbek
by
2.4k points

1 Answer

8 votes
8 votes

Recall the equation,

x = a^y

This is an exponential equation. To write it as a logarithmic function, it becomes

y = loga x

where

a is the base of the logarithm

The given exponential equation is

1/64 = (1/4)^3

By comparing both equations, we have

a = 1/4, y = 3, x = 1/64

Thus, in logarithmic form, the equation is

3 = log(1/4) 1/64

where

1/4 is the base of the logarithm

User Catlin
by
3.3k points