What is the solution 6^2x =800

Question

asked Jun 4, 2019 185k views

2 Answers

Loren Pechtel · Answer 1 · 2019-06-09T22:28:23+0000

Answer:

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.