document.write( "Question 1196716: Log10x=-2 \n" ); document.write( "
Algebra.Com's Answer #829680 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Use the basic definition of logarithms as exponents:

\n" ); document.write( "\"log%2810%2Cx%29=-2\" --> \"x=10%5E%28-2%29=1%2F10%5E2=1%2F100\"

\n" ); document.write( "Explanation....

\n" ); document.write( "The logarithm is the exponent, so \"log base 10 of x equals -2\" means -2 is the exponent. And clearly in that statement the base is 10, so x is the base 10, raised to the power of the exponent -2: \"x=10%5E%28-2%29\"

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