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

x = log (5) / log (3)

x=1.46497

Step-by-step 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