Question

What is the solution to the equation below? 4•3^x=27.48

Answer 1

Answer:

D. X=1.75

Step-by-step explanation:

To start, let’s divide both sides by 4.

So 3^x =27.48/4

Since we want to solve for x, we take the log_3 of both sides.

So $log_{3}3^x$=$log_{3}6.87$

Using the laws of logs, we get

$x*log_{3}3$=$log_{3}6.87$

since $log_{3}3$ is 1, we get

X=$log_{3}6.87$

Using a calculator, we find that x is about 1.75