Question

What is the solution of the equation 3+5ˣ =7 ?

a. 3.2579
b. 0.8614
c. 1.1610
d. 2.0969

Answer 1

To solve the equation \(3 + 5^x = 7\), you can subtract 3 from both sides:

\[5^x = 4\]

Now, take the logarithm base 5 of both sides:

\[x = \log_5(4)\]

Using a calculator, the approximate value is around 1.1610.

So, the solution is:

c. 1.1610