Question

What is the solution 6^2x =800

Answer 1

6^2=36
800/36
X=22.2222

Answer 2

The solution of the expression is at x=1.86.

Explanation:

Given : Expression
`6^(2x)=800`

To find : The solution of the given expression?

Solution :

As it is an exponential function we solve it using log.

Step 1 - Write the expression

`6^(2x)=800`

Step 2 - Taking log both side,

`\log 6^(2x)=\log 800`

Step 3 - Apply logarithmic property,
`\log x^a=a\log x`

`2x\log 6=\log 800`

Step 4 - Solve

`2x=(\log 800)/(\log 6)`

`2x=3.73`

`x=(3.73)/(2)`

`x=1.86`

Therefore, The solution of the expression is at x=1.86.