SOLUTION: can you help me with this .. solve for x : log5(10x+4) - log5 2 = 1/2log5 49 + 2log5 4 ALL THE 5'S ARE ACTUALLY SMALL, i just didnt no how to do it on my keybored, thanks for t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: can you help me with this .. solve for x : log5(10x+4) - log5 2 = 1/2log5 49 + 2log5 4 ALL THE 5'S ARE ACTUALLY SMALL, i just didnt no how to do it on my keybored, thanks for t      Log On


   



Question 422285: can you help me with this ..
solve for x : log5(10x+4) - log5 2 = 1/2log5 49 + 2log5 4
ALL THE 5'S ARE ACTUALLY SMALL, i just didnt no how to do it on my keybored, thanks for the help!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x : log5(10x+4) - log5(2) = 1/2log5(49) + 2log5(4)
:
1/2 is the square root exponent, return the exponent to inside the radical
log5%28%2810x%2B4%29%2F2%29+=+log5%28sqrt%2849%29%29+%2B+log5%284%5E2%29
Which is
log5(5x+2) = log5(7) + log(16)
:
log5(5x+2) = log5(7*16)
log5(5x+2) = log5(112)
:
therefore, we can say:
5x + 2 = 112
5x = 112 - 2
5x = 110
x = 110%2F5
x = 22
;
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