Question

What is the solution 6^2x =800

Answer 1

6^2=36
800/36
X=22.2222

Answer 2

Answer:

The solution of the expression is at x=1.86.

Step-by-step 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

$2x=\frac{\log 800}{\log 6}$

$2x=3.73$

$x=\frac{3.73}{2}$

$x=1.86$

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