Question

Can someone give me a hand?

`{5}^(2x + 3) - 84 = 0`
Thanks

Answer 1

First, add 84 to both sides, to isolate the exponential function.

Then, take the logarithm of both sides:

(2x+3)*log 5 = log 84

Solving for 2x+3, we get log 84 - log 5, and so

2x = -3 + log 84 - log 5. Dividing both sides by -3, we obtain the final answer:

-3 + log 84 - log 5

x = -----------------------------

2