SOLUTION: Find the approximate solution to the equation 3(1.5^x) + 10 = 280

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the approximate solution to the equation 3(1.5^x) + 10 = 280      Log On


   

Question 322022: Find the approximate solution to the equation 3(1.5^x) + 10 = 280
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+3%281.5%5Ex%29+%2B+10+=+280
+3%281.5%5Ex%29+=+270
+1.5%5Ex=+90
+x=log%281.5%2C%2890%29%29
+x=log%28%2890%29%29%2Flog%28%281.5%29%29
or approximately,
+x=1.9542%2F0.1761
x=11.098