document.write( "Question 731006: I understand that when you are trying to solve for x when it is an exponent, you want to get the same base; however, I don't understand these two questions as I cannot seem to get the same base.. Thank you!\r
\n" ); document.write( "\n" ); document.write( "1. 2^-2x = 15
\n" ); document.write( "2. 5(10^x) = 180
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Algebra.Com's Answer #446958 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Number 1 question is ambiguous. \r
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\n" ); document.write( "\n" ); document.write( "Number 2 question may be solved this way:
\n" ); document.write( "\"10%5Ex=180%2F5\"
\n" ); document.write( "\"10%5Ex=36\"
\n" ); document.write( "\"log%2810%2C%2810%5Ex%29%29=log%2810%2C36%29\"
\n" ); document.write( "\"x%2Alog%2810%2C10%29=log%2810%2C36%29\"
\n" ); document.write( "\"x%2A1=log%2810%2C36%29\"
\n" ); document.write( "\"highlight%28x=log%2810%2C36%29%29\", and you can find this on a calculator or in table of common logarithms.\r
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\n" ); document.write( "\n" ); document.write( "If you wanted, you can take the log of 36 this way:
\n" ); document.write( "\"log%2810%2C+36%29=log%2810%2C%286%5E2%29%29\"
\n" ); document.write( "=\"2%2Alog%2810%2C6%29\"
\n" ); document.write( "and again, you can find log of 6 by table of logs or calculator and perform your arithmetic.
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