# How do you solve #3^x=500#?

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the equation (3^x = 500), you can use logarithms. Specifically, take the logarithm of both sides of the equation with base 3 or base 10.

If using base 3 logarithm:

[ \log_3(3^x) = \log_3(500) ]

[ x = \log_3(500) ]

If using base 10 logarithm:

[ \log(3^x) = \log(500) ]

[ x \cdot \log(3) = \log(500) ]

[ x = \frac{\log(500)}{\log(3)} ]

Using a calculator to evaluate the logarithms, you can find the value of (x).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7