Respuesta :
Answer:
The solution of the expression is at x=1.86.
Step-by-step explanation:
Given : Expression [tex]6^{2x}=800[/tex]
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
[tex]6^{2x}=800[/tex]
Step 2 - Taking log both side,
[tex]\log 6^{2x}=\log 800[/tex]
Step 3 - Apply logarithmic property,[tex]\log x^a=a\log x[/tex]
[tex]2x\log 6=\log 800[/tex]
Step 4 - Solve
[tex]2x=\frac{\log 800}{\log 6}[/tex]
[tex]2x=3.73[/tex]
[tex]x=\frac{3.73}{2}[/tex]
[tex]x=1.86[/tex]
Therefore, The solution of the expression is at x=1.86.
