Question

What is the exponential form of the logarithmic equation? 3=log0.6 0.216

Enter your answer in the box.

Answer 1

`(0.6)^3= 0.216`

Explanation:

`3=log_(0.6) 0.216`

To convert log form into exponential form we use a rule

`if \ x=log_b(a) \ then \ b^x=a`

WE apply this rule to convert log form in to exponential form

`3=log_(0.6) 0.216`

The base of log becomes the base of the exponent

`(0.6)^3= 0.216`

Answer 2

0.216 = 0.6³

Explanation:

using the rule of logarithms

•
`log_(b)` x = n ⇔ x =
`b^(n)`

`log_(0.6)` 0.216 = 3 ⇒ 0.216 =
`0.6^(3)`