SOLUTION: Find the value of x. Round to three decimal places. ln square root of 8x-5 = 2.6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the value of x. Round to three decimal places. ln square root of 8x-5 = 2.6       Log On


   

Question 359087: Find the value of x. Round to three decimal places.
ln square root of 8x-5 = 2.6

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28sqrt%288x-5%29%29+=+2.6
sqrt%288x-5%29=e%5E2.6
8x-5=%28e%5E%282.6%29%29%5E2=e%5E%285.2%29
8x=5%2Be%5E%285.2%29
highlight%28x=%285%2Be%5E%285.2%29%29%2F8%29 or approximately,
x=23.284