SOLUTION: How do you solve 100to 2x+3 power to equal 1000 to the x+5 solve for x? How do you solve for x 4to the 5x+1=16 to 2x-1?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do you solve 100to 2x+3 power to equal 1000 to the x+5 solve for x? How do you solve for x 4to the 5x+1=16 to 2x-1?       Log On


   



Question 463441: How do you solve 100to 2x+3 power to equal 1000 to the x+5 solve for x?
How do you solve for x 4to the 5x+1=16 to 2x-1?

Answer by htmentor(1343) About Me  (Show Source):
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How do you solve 100to 2x+3 power to equal 1000 to the x+5 solve for x?
How do you solve for x 4to the 5x+1=16 to 2x-1?
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100^(2x+3) = 1000^(x+5)
Taking the log (base 10) of both sides gives:
(2x+3)log(100) = (x+5)log(000)
(2x+3)2 = (x+5)3
Solve for x:
4x+6 = 3x+15
This gives x = 9
The 2nd problem is solved the same way, but use log base 4