How to solve the following exponential equation

Question

5*2^x-7=10

How to solve?

Answer 1

Hello, AC!

I would be be more than happy to help with this exponential function problem.

Step 1: Isolate 5(2)^x by adding 7 to both sides of the equality.

5(2)^x - 7 = 10

+ 7 +7

5(2^x) = 17

Step 2: Divide both sides of the equality by 5, in order to isolate (2)^x.

5(2^x) = 17

5 5

Step 3: Apply the ln fiction to both sides of the equality.

ln(2^x) = ln(3.4)

Step 4: Divide both sides of the equality by ln 2.

xln2 = ln(3.4)

ln2 ln2

x is approximately equal to 1.77.