document.write( "Question 970484: Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to. \n" ); document.write( "

Algebra.Com's Answer #593097 by Alan3354(69443) $\"\"$ $\"About$

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Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to.
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\n" ); document.write( "log(3x-1) is base 10
\n" ); document.write( "If you mean $\"log%282%2C8%29\"$ that's a different base, base 2.
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\n" ); document.write( "You might recognize that $\"log%282%2C8%29+=+log%282%2C2%5E3%29+=+3\"$
\n" ); document.write( "If not, use the base change $\"log%282%2C8%29+=+log%288%29%2Flog%282%29+=+3\"$
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\n" ); document.write( "Either way, log(3x-1) = 3
\n" ); document.write( "log(3x-1) = log(10^3) = log(1000)
\n" ); document.write( "3x-1 = 1000
\n" ); document.write( "x = 1001/3
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