The value of x is 1.66
Step-by-step explanation:
Let use revise the rules of exponential and logarithmic equations
1. If y = [tex]b^{x}[/tex], then [tex]log_{b}(y)=x[/tex]
2. [tex]log_{b}(y) = \frac{log(y)}{log(b)}[/tex]
Use the rules above to solve the problem
∵ [tex]4^{x}+2=12[/tex]
- Subtract 2 from both sides
∴ [tex]4^{x}=10[/tex]
change the exponential equation to logarithmic equation
∴ [tex]log_{4}(10)=x[/tex]
∵ [tex]log_{4}(10) = \frac{log(10)}{log(4)}[/tex]
∴ x = [tex]\frac{log(10)}{log(4)}[/tex]
∴ x = 1.66
The value of x is 1.66
Learn more:
You can learn more about logarithmic function in brainly.com/question/10633485
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