Question

Please solve exponential function10^2a+3=10^a-4

Answer 1

Given the exponential function:

`10^(2a+3)=10^(a-4)`

Let's evaluate the given exponential function.

Since the base of both sides are the same, the expressions are equal if the exponents are equal.

Remove the bases and equate the exponents:

`2a+3=a-4`

Subtract 3 from both sides:

`\begin{gathered} 2a+3-3=a-4-3 \\ \\ 2a=a-7 \end{gathered}`

Subtract a from both sides:

`\begin{gathered} 2a-a=a-a-7 \\ \\ a=-7 \end{gathered}`

ANSWER:

a = -7