document.write( "Question 179548This question is from textbook Core Mathematics 2
\n" ); document.write( ": Can i please have a detailed answer step by step of the folllowing question:\r
\n" ); document.write( "\n" ); document.write( "i) 9^x+5=50 \n" ); document.write( "

Algebra.Com's Answer #134488 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5Ex+%2B+5+=+50\"$
\n" ); document.write( "Subtract $\"5\"$ from both sides
\n" ); document.write( " $\"9%5Ex+=+45\"$
\n" ); document.write( "Note that I can write $\"9%5Ex\"$ this way:
\n" ); document.write( " $\"9%2A9%5E%28x+-+1%29\"$
\n" ); document.write( "That's the same as saying $\"2%5E4+=+2%2A2%5E3\"$
\n" ); document.write( " $\"9%2A9%5E%28x+-+1%29+=+9%2A5\"$
\n" ); document.write( "Divide both sides by $\"9\"$
\n" ); document.write( " $\"9%5E%28x+-+1%29+=+5\"$
\n" ); document.write( "This is the same as
\n" ); document.write( " $\"log%289%2C5%29+=+x+-+1\"$
\n" ); document.write( " $\"x+=+log%289%2C5%29+%2B+1\"$
\n" ); document.write( "I can use the formula which says:
\n" ); document.write( " $\"log%28b%2Cx%29+=+%28log%28k%2Cx%29%29+%2F+%28log%28k%2Cb%29%29\"$ with $\"k+=+10\"$
\n" ); document.write( " $\"log%289%2C5%29+=+log%285%29%2Flog%289%29\"$
\n" ); document.write( " $\"log%289%2C5%29+=+.69897+%2F+.95424\"$
\n" ); document.write( " $\"log%289%2C5%29+=+.73249\"$
\n" ); document.write( " $\"x+=+log%289%2C5%29+%2B+1\"$
\n" ); document.write( " $\"x+=+.73249+%2B+1\"$
\n" ); document.write( " $\"x+=+1.73249\"$ answer
\n" ); document.write( "check:
\n" ); document.write( " $\"9%5Ex+%2B+5+=+50\"$
\n" ); document.write( " $\"9%5E1.73249+%2B+5+=+50\"$
\n" ); document.write( " $\"45.00032+%2B+5+=+50\"$
\n" ); document.write( " $\"50.00032+=+50\"$ close enough
\n" ); document.write( " \n" ); document.write( "

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