document.write( "Question 623003: Solve the equation 7^(x – 2) = 5^x. Round the answer to four decimal places. \n" ); document.write( "
Algebra.Com's Answer #391783 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation 7^(x – 2) = 5^x. Round the answer to four decimal places.\r
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\n" ); document.write( "\n" ); document.write( "\"7%5E%28x+-+2%29+=+5%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "(x - 2) log 7 = x log 5\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x+-+2%29+log+7%29%2Fx+=+%28x+log+5%29%2Fx\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x+-+2%29+log+7%29%2Fx+=+cross%28x%29+log+5%2Fcross%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x+-+2%29+log+7%29%2Fx+=+log+5\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28x+-+2%29+log+7%29%2Fx%29%2Flog+7+=+log+5%2Flog+7\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28%28x+-+2%29+cross%28log+7%29%29%2Fx%29%2Fcross%28log+7%29+=+log+5%2Flog+7\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x+-+2%29%2Fx+=+log+5%2Flog+7\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x+-+2%29%2Fx+=+0.827087475\"\r
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\n" ); document.write( "\n" ); document.write( "x - 2 = 0.827087475x ----- Cross-multiplying\r
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\n" ); document.write( "\n" ); document.write( "x - 0.827087475x = 2\r
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\n" ); document.write( "\n" ); document.write( ".172912525x = 2\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+2%2F.172912525\", or 11.56654212 ≈ \"highlight_green%2811.5665%29\"\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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