document.write( "Question 215921: Please solve each step and show your work. \r
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document.write( "Part 11: 5^(2x+1)=8\r
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document.write( " Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor. \r
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document.write( " Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.
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Algebra.Com's Answer #163151 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 5^(2x+1)=8 \n" ); document.write( "Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor. \n" ); document.write( "Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth. \n" ); document.write( "-------------------- \n" ); document.write( "(2x+1)*log(5) = log(8) \n" ); document.write( "----------------- \n" ); document.write( "2x+1 = log(8)/log(5) = ~ 1.29203 \n" ); document.write( "2x = 0.29203 \n" ); document.write( "x = 0.146 \n" ); document.write( " |