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OpenStudy (angiepangie0726):
What is the exact value of x in the exponential equation 25x − 57 = 43?
OpenStudy (angiepangie0726):
Here are the options
OpenStudy (angiepangie0726):
Are you able to help me out @plainntall
OpenStudy (angiepangie0726):
@sammixboo
OpenStudy (plainntall):
I don't understand the question.
25x-57=43
25x=100
x=4
Did they want you to express 4 in terms of a log?
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OpenStudy (angiepangie0726):
I honestly have no idea.. This is liberal arts math and its soooo confusing..
OpenStudy (angiepangie0726):
I literally have people telling me on here they cant solve different things i post. even the higher level people which really sucks when i need the help
OpenStudy (plainntall):
Is that how the equation looks or does it look like
\[x^{25}-57=43\]
OpenStudy (plainntall):
or maybe
\[25^{x}-5^{7}=4^{3}\]
OpenStudy (angiepangie0726):
2^5x-57=43
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OpenStudy (angiepangie0726):
|dw:1465338511605:dw|
OpenStudy (angiepangie0726):
Sorry about that!
OpenStudy (plainntall):
so that give us
\[2^{5x}=43+75=100=10^2\]
\[\log_{2} 100=2=5x\]
x=2/5