Question

(6^2)^x =1 please help ASAP please

Answer 1

x = 0

Simplified:
`36^(x) = 1`

Explanation:

How to simplify:

1. 
   `6^(2)` = 6 × 6 = 36
2. Plug in 36:
   `36^(x) = 1`

Answer 2

x =0

Explanation:

`\left(6^2\right)^x=1\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc)\\\left(6^2\right)^x=6^(2x)\\\\6^(2x)=1\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(6^(2x)\right)=\ln \left(1\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\ln \left(6^(2x)\right)=2x\ln \left(6\right)\\2x\ln \left(6\right)=\ln \left(1\right)\\`

`\mathrm{Solve\:}\:2x\ln \left(6\right)=\ln \left(1\right):\\\quad x=0`