Question

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

Answer 1

Answer:

The answer is

1.46

Step-by-step explanation:

${3}^{x} = 5$

Take logarithm of both sides of the equation

That's

$log(3)^{x} = log(5)$

Using the rules of logarithms

$log(3)^{x} = x log(3)$

So we have

$xlog(3) = log(5)$

Divide both sides by log 3

We have

$x = \frac{ log(5) }{ log(3) }$

We have the final answer as

1.46497

which is

1.46 to 2 decimal places

Hope this helps you