document.write( "Question 280829: 9 In(9x)=4 \n" ); document.write( "

Algebra.Com's Answer #204136 by jsmallt9(3758) $\"\"$ $\"About$

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9ln(9x) = 4
\n" ); document.write( "First let's isolate the logarithm by dividing both sides by 9:
\n" ); document.write( "ln(9x) = 4/9
\n" ); document.write( "With the equation now in the form
\n" ); document.write( "log(expression) = other-expression
\n" ); document.write( "we proceed by rewriting the equation in exponential form. Since ln is a base e logarithm we get:
\n" ); document.write( " $\"9x+=+e%5E%284%2F9%29\"$
\n" ); document.write( "Now, to isolate x, we divide by 9 again:
\n" ); document.write( " $\"x+=+e%5E%284%2F9%29%2F9\"$
\n" ); document.write( "This is an exact expression for the solution. If you are driven to find a decimal approximation then, using 2.7182818284590451 (or a rounded-off version of it) for e, use your calculator to raise e to the 4/9 power and then divide that by 9. \n" ); document.write( "

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