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Step-by-step Solution

Solve the equation 4^x=16128^0.5

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Answer

$x=\frac{15}{4}$

Step-by-step explanation

Problem to solve:

$4^x=16\sqrt{128}$
1

Multiply $16$ times $11.313708498984761$

$4^x=181.0193$
2

Removing the variable from the exponent

$\ln\left(4^x\right)=\ln\left(181.0193\right)$

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Answer

$x=\frac{15}{4}$
$4^x=16\sqrt{128}$

Main topic:

Radical equations and functions

Time to solve it:

~ 1.02 seconds