Question

Select the correct answer. What is the solution to this equation? 8(e)²x+1 = 4

Answer 1

The solution to the given exponential function is$x = [ ln(0.5) - 1]/2$

Solving exponential equations,

What is the standard exponential equation?

The standard exponential equation is expressed as $y = ab^x$

Given the expression

$8(e)^{2x+1}=4$

Divide both sides by 8

$(e)^{2x+1}=4/8$

$(e)^{2x+1} = 1/2$

Take the ln of both sides

$ln(e)^{2x+1} =ln(1/2)$

$2x + 1 = ln(0.5)$

Subtract 1 from both sides

$2x = ln(0.5) - 1$

$x = [ ln(0.5) - 1]/2$

Hence the solution to the given exponential function is $x = [ ln(0.5) - 1]/2$

Learn more on exponential function here: brainly.com/question/12940982

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