The exponential equation 8^x=480 does not have an integer solution, yet the solution does lie between two integer values. Use a calculator to fill in the blanks of the following statement with the two integer values that x must lie between. Hint: Put the smaller number in the first response field and the larger number in the second response field. (1 point) The number 8 must be raised to a power between the numbers and to equal the value of 480.
To solve the equation 8^x = 480, we can take the logarithm of both sides to find the value of x. Using a calculator, we find:
x = log(480) / log(8) ≈ 2.7207
So, x must lie between the numbers 2 and 3 in order for 8^x to equal 480.