Consider the exponential equation 4^x = 30. Between what two consecutive integers must the solution to this equation lie? Explain your reasoning.

2 and 3.

Step-by-step explanation:

Four to the second power is 16.

Four to the third power is 64.

30 lies between 16 and 64, thus the exponent must lie between 2 and 3.

what does muffins have to do with anything?

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!