SOLUTION: solve - 5(2)^x-3=7.6 I can not figure this out!!! Help please...

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve - 5(2)^x-3=7.6 I can not figure this out!!! Help please...      Log On


   

Question 253095: solve -
5(2)^x-3=7.6
I can not figure this out!!!
Help please...
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Ok, you start off with 5%282%29%5Ex-3=7.6
add 3 to both sides
5%282%29%5Ex=10.6
divide both sides by 5
2%5Ex=2.12
take log base 2 of both sides
log+%28base+2%29+of+2%5Ex+=+log+%28base+2%29+of+2.12
by using properties of logarithms, the left side will just be x.
Use the change of base formula on the right and you get %28log+2.12%29%2F%28log+2%29
Using a calculator, I get x=1.0841
For more questions, contact me at justin.sheppard.tech@hotmail.com
Justin