How do you solve 5 to the power of x equals 15?

Answer 1

X=3

Answer 2

To solve the equation 5^x = 15, you can take the logarithm of both sides. By taking the natural logarithm of both sides, you get x * ln(5) = ln(15). Then, you can solve for x by dividing both sides by ln(5), giving you x = ln(15) / ln(5), which is approximately 1.682.

Answer 3

Using logarithms. In economics, we most commonly use the the base e, which is known as ln. For example

5^x = 15, apply ln[.] to both sides

ln[5^x] = ln[15]

and since logarithms have the property of turning exponents into coefficients

xln5 = ln15

x = ln15/ln5

x = 1.6826