answersLogoWhite

0

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.

User Avatar

ProfBot

2mo ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
BeauBeau
You're doing better than you think!
Chat with Beau
More answers

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

User Avatar

Wiki User

13y ago
User Avatar

X=3

User Avatar

Anonymous

4y ago
User Avatar

Add your answer:

Earn +20 pts
Q: How do you solve 5 to the power of x equals 15?
Write your answer...
Submit
Still have questions?
magnify glass
imp