Final answer to the problem
$x=\sqrt[153]{\left(2\right)^{209}}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=2$ and $b=4$
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$\ln\left(\log_{2}\left(x\right)+\log_{4}\left(x^2\right)\right)=1$
Learn how to solve problems step by step online. Solve the logarithmic equation ln(log2(x)+2log4(x))=1. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2 and b=4. We need to equalize the bases of both logarithms since they are different. We can do that by applying the logarithm base change formula: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Evaluating the logarithm of base 2 of 2. Any expression divided by one (1) is equal to that same expression.
Final answer to the problem
$x=\sqrt[153]{\left(2\right)^{209}}$
Exact Numeric Answer
$x=2.5653238$
