{7}^(x) = {18}^(6) please solve this for me.with steps​

Question

`{7}^(x) = {18}^(6)`
please solve this for me.with steps​

Answer 1

The solution for x is 8.911

Explanation:

Given expression as :

`7^(x)` =
`18^(6)`

Taking Log both side

Log
`7^(x)` = Log
`18^(6)`

From Log property

Log
`a^(b)` = b Log a

So, x Log 7 = 6 Log 18

Or, x × 0.845 = 6 × 1.255

Or , x × 0.845 = 7.53

∴ x =
`(7.53)/(0.845)`

I.e x = 8.911

Hence The solution for x is 8.911 Answer