Question

Can someone give me a hand?ula1" title="{5}^{2x + 3} - 84 = 0" alt="{5}^{2x + 3} - 84 = 0" align="absmiddle" class="latex-formula">
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