Find the value of x + y given 3^x = 1 and 3^y = 81

Published on October 21, 2024

Algebra

The solution to the equation 3^x = 1 and 3^y = 81 is x + y = 4.

Question

Answer

Let’s solve this problem step-by-step.

Step 1: Solve for x

We know that any number raised to the power of 0 equals 1. Therefore:

means

Step 2: Solve for y

We need to find what power of 3 equals 81.

Therefore:

means

Step 3: Calculate x + y

Substitute the values we found:

Answer:

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