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Solving Exponential Equations

This worksheet covers Solving Exponential Equations, which is part of the Exponential Functions module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Graphing Exponential Functions

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Solving Exponential Equations

Exponential Functions • SAT Math

Set 4 — Mastery

$So$ lve for $x$ : $3^{2x} = 81$

If $5^{x} = 25$ , what is the value of $x$ ?

$So$ lve for $x$ : $2^{x+1} = 16$

What is the solution to $4^{x} + 4^{x-1} = 20$ ?

If $2^{x} = 8^{x-1}$ , what is the value of $x$ ?

$So$ lve for $x$ : $10^{2x} = 0.01$

-1

-2

What is the solution to $e^{2x} = 5$ ?

\ln(5)/2

2\ln(5)

e^{5}

If $3^{x} = 27^{x-2}$ , find $x$ .

$So$ lve for $x$ in the equation $7^{x} = 49$ .

-1

10.

What is the value of $x$ if $2^{3x} = 8^{x+1}$ ?

-1

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