1 Answer

Gaurav Verma · Answer 1 · 2023-08-01T06:12:55+0000

Answer:

B. 0.48

Step-by-step explanation:

Given the below;

$4\cdot2^(5x)=21$

We'll follow the below steps to solve for x;

Step 1: Divide both sides of the equation by 4;

$\begin{gathered} (4\cdot2^(5x))/(4)=(21)/(4) \\ 2^(5x)=(21)/(4) \end{gathered}$

Step 2: Take the natural log of both sides of the equation;

$\begin{gathered} \ln (2^(5x))=\ln ((21)/(4)) \\ 5x\ln 2=\ln ((21)/(4)) \end{gathered}$

Step 3: Divide both sides by 5 ln 2;

$\begin{gathered} x=(\ln ((21)/(4)))/(5\ln 2) \\ x=0.48 \end{gathered}$

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