# How do you solve the equation #log_x 243=5#?

##### 1 Answer

Nov 25, 2016

#### Answer:

#### Explanation:

**question given**

*solve*

**concept applied**

*log to exponential conversion*

- the equation is in the form of
#\color(red)(x=log_{b}(y))#

**calculation**

let's convert to

- in the equation you are given,
#\color(blue)(b=5)# ,#\color(green)(y=243)# , and you need to find the value for#x# . - putting this into the equation:

#\color(green)(243)=x^\color(blue)(5)# - after this you would either find the fifth root of 243, or you can use a calculator to plug in values.
**answer**: x=3

**source links**

VirtualNerd (concept discussion)

Symbolab (step-by-step)