Solve the following equations:

1. \( 8^x = 2 \)

2. \( 4^x = 8 \)

# 1 8 x = 2 ( 2 3 ) x = 2 2 3 x = 2 3 x = 1 x = 3 1 ​ ​ # 2 4 x = 8 ( 2 2 ) x = 2 3 2 2 x = 2 3 2 x = 3 x = 2 3 ​ ​

Answered by mariamikayla | 2024-06-10

8 x = 2 2 3 x = 2 1 3 x = 1 x = 3 1 ​ 4 x = 8 2 2 x = 2 3 2 x = 3 x = 2 3 ​

Answered by konrad509 | 2024-06-10

The solutions for the equations are x = 3 1 ​ for the first equation and x = 2 3 ​ for the second equation. Both equations were solved by rewriting them with a common base and then equating exponents. This method is helpful for solving exponential equations.
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Answered by mariamikayla | 2025-02-26