3 years ago

Analia is a school district manager. Here are some details about two schools in her district for the last school year:

Mathematics

1 answer:

Marta_Voda [28]3 years ago

4 0

The answer is A for that question

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Explain how solve 4^(x + 3) = 7 using the change of base formula. Include the solution for x in your answer. Round your answer t

Karo-lina-s [1.5K]

Answer:

$x=-1.596$

Step-by-step explanation:

We want to solve the equation

$4^{(x + 3)} = 7$

for $x$ .

To do that we take the $log_4$ of both sides:

$log_4(4^{(x + 3)}) = log_4(7)$

$=x+3=log_4(7)$

For the logarithm on the right side we use the change-of-base formula which says:

$log_b(n)=\frac{log_d(n)}{log_d(b)}$

For $log_4(7)$ this gives:

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Thus we have

$x+3=1.4037$

$\boxed{\therefore x=-1.596.}$

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