answersLogoWhite

0


Best Answer

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

1mo ago

Still curious? Ask our experts.

Chat with our AI personalities

RossRoss
Every question is just a happy little opportunity.
Chat with Ross
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
More answers
User Avatar

Wiki User

13y ago

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

User Avatar

Anonymous

Lvl 1
4y ago

X=3

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