document.write( "Question 1129238: Solve the equation by rewriting the exponential expressions using the indicated logarithm.\r
\n" ); document.write( "\n" ); document.write( "e^4x = 19 using the natural log\r
\n" ); document.write( "\n" ); document.write( "60^e−0.12t = 10 using the natural log\r
\n" ); document.write( "\n" ); document.write( "*Knowing that the natural log base is 10 the answers that I came up with was: log10=19, but I don't know where the 4 is suppose to go. The same confusion goes for the second one, I thought the equation should be set up as log10=10, but I don't know where 60 and e^-0.12t goes. Can someone explain how to properly set up the equation? Thanks. \n" ); document.write( "
Algebra.Com's Answer #745829 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation by rewriting the exponential expressions using the indicated logarithm.\r
\n" ); document.write( "\n" ); document.write( "e^4x = 19 using the natural log\r
\n" ); document.write( "\n" ); document.write( "60^e−0.12t = 10 using the natural log\r
\n" ); document.write( "\n" ); document.write( "*Knowing that the natural log base is 10 the answers that I came up with was: log10=19, but I don't know where the 4 is suppose to go. The same confusion goes for the second one, I thought the equation should be set up as log10=10, but I don't know where 60 and e^-0.12t goes. Can someone explain how to properly set up the equation? Thanks.
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a)  If it's \"matrix%281%2C3%2C+e%5E%284x%29%2C+%22=%22%2C+19%29\", then:
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document.write( "\"matrix%281%2C3%2C+4x%2C+%22=%22%2C+ln+%2819%29%29\" ----- Converting to NATURAL LOGARITHMIC (ln) form
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document.write( "b)  If it's \"matrix%281%2C3%2C+60%5E%28e+-+.12t%29%2C+%22=%22%2C+10%29\", then:
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document.write( "\"matrix%281%2C3%2C+ln+%2860%5E%28e+-+.12t%29%29%2C+%22=%22%2C+ln+%2810%29%29\" ----- Taking the NATURAL LOG (ln) of each side
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document.write( "\"matrix%281%2C3%2C+%28e+-+.12t%29+%2A+ln+%2860%29%2C+%22=%22%2C+ln+%2810%29%29\"
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document.write( "\"matrix%281%2C3%2C+e+-+.12t%2C+%22=%22%2C+ln+%2810%29%2Fln+%2860%29%29\"
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document.write( "\"matrix%281%2C3%2C+-+.12t%2C+%22=%22%2C+ln+%2810%29%2Fln+%2860%29+-+e%29\"
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document.write( "OR\r
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document.write( "b)  If it's \"matrix%281%2C3%2C+60%5Ee+-+.12t%2C+%22=%22%2C+10%29\", then you DO NOT NEED to use REGULAR or NATURAL LOGS to solve. Do as follows:
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document.write( "\"matrix%281%2C3%2C+-+.12t%2C+%22=%22%2C+10+-+60%5Ee%29\"
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document.write( "That's ALL!! \n" );
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