Question

6^8x=216

Answer 1

Use Log to both sides

Answer 2

\[6^{8x}=216\\\log_6(6^{8x})=\log_6(216)\\=\]

Answer 3

i still dont understand

Answer 4

What power of 6 is 216?

Answer 5

can you simplify the right hand side?

\[\boxed{\log_bx^n=n\log_b x}\]
\[\boxed{\log_b b=1}\]

Answer 6

3

Answer 7

*left

Answer 8

In a simple way ,When you use the log ,the power will get down
6^8x
When you use the log :
8x *Log(6)
then :
8x*(Log6)=Log216
8x=Log216/Log6
Can you get the value of x now ?

Answer 9

\[6^{8x}=216\]

\[6^{8x}=(6)^3\]

\[8x=3\]

\[x=\frac{ 3 }{8 }\]

Answer 10

oh ok. Thank you all so much

Answer 11

Anytime.