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Question
solve the equation for x. give an exact solution and log 4x = 1.1
the exact answer is x =
(simplify your answer.)
Step1: Rewrite in exponential form
By the definition of logarithms, if $\log_{a}b = c$, then $b=a^{c}$. Here, assuming base - 10 logarithm ($\log=\log_{10}$), we have $4x = 10^{1.1}$.
Step2: Solve for x
Divide both sides of the equation $4x = 10^{1.1}$ by 4. So, $x=\frac{10^{1.1}}{4}$.
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$x=\frac{10^{1.1}}{4}$