SOLUTION: I need your help with this problem! Use a graphing calculator to solve the following equation for x. 2^x=19 The solution set is (Simplify your answer. Type an integer or a

Algebra ->  Graphs -> SOLUTION: I need your help with this problem! Use a graphing calculator to solve the following equation for x. 2^x=19 The solution set is (Simplify your answer. Type an integer or a       Log On


   

Question 421271: I need your help with this problem!
Use a graphing calculator to solve the following equation for x.
2^x=19
The solution set is
(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2%5Ex=19

This equation can be written using a logarithm (base 2):
log2%2819%29+=+x
But base two logarithms we can convert to a base 10 logarithm:
log2%2819%29=++log%2819%29%2Flog%282%29
Our equation then becomes:
x+=+log%2819%29+%2F+log%282%29
x+=+1.279%2F0.301
x=4.249