Solve the equation without using a calculator.
-$$4 ^ { ( 3 x - 7 ) } = 16$$
A) $\frac { 1 } { 4 }$
B)4
C)-3
D)3

Name: Solve the equation without using a calculator. -\[4 ^ { ( 3 x - 7 ) } = 16\] A) $\frac { 1 } { 4 }$ B)4 C)-3 D)3
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Question

Quizplus · Accepted Answer

The equation can be rewritten as $4^{(3x-7)} = 4^2$. By equating the exponents, we get $3x - 7 = 2$. Solving for $x$, we add 7 to both sides to get $3x = 9$, and then divide by 3 to find $x = 3$.

Solve the Equation Without Using a Calculator 4(3x−7)=164 ^ { ( 3 x - 7 ) } = 164(3x−7)=16

Solve the Equation Without Using a Calculator $4 ^ { ( 3 x - 7 ) } = 16$