Question

Solve 10^x = 100,000

Answer 1

To solve the equation 10^x = 100,000, we need to isolate x on one side of the equation. We can do this by taking the logarithm of both sides of the equation with base 10:

log(10^x) = log(100,000)

Using the logarithmic property log(a^b) = b*log(a), we can simplify the left side of the equation:

x*log(10) = log(100,000)

Since log(10) = 1, we can simplify further:

x = log(100,000)

Using a calculator, we can evaluate the logarithm to get:

x = 5 + log(10)

x = 5 + 1

x = 6

Therefore, the solution to the equation 10^x = 100,000 is x = 6.

Answer 2

x = 5

Explanation:

10^5=

(10 x 10) x 10 x 10 x 10=

(100 x 10)x 10 x 10=

(1000 x 10) x 10=

(10,000 x 10) = 100,000