Question

Solve 3^x - 5. What are the exact and approximate solutions?​

Answer 1

x = log(5) / log(3)

x=1.46497

Explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497