Question

{18}^{6} " alt=" {7}^{x} = {18}^{6} " align="absmiddle" class="latex-formula">
please solve this for me.with steps​

Answer 1

Answer:

The solution for x is 8.911

Step-by-step 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 = $\frac{7.53}{0.845}$

I.e x = 8.911

Hence The solution for x is 8.911    Answer