document.write( "Question 595195: Please help me with these problems and please show all work. Thanks in advance and God bless.\r
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document.write( "1. Solve for x. logbase3 times(x+1)-log base3times(x)=3\r
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document.write( "2. Solve the equation and round to 4decimal place. (1+r)^3=4.2\r
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document.write( "3. rewrite the expression as a single logarithm. log(b)+3log(c).\r
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document.write( "4. the following wquation involves more than one exponential expression. Solve the equation 2^4x+2=7\r
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document.write( "5. Use a calculator and the base-change formula to find the following logarithm. logbase8.8(4.9) Don't round until final answer(4 decimal places) \n" );
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Algebra.Com's Answer #377213 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 1. Solve for x. logbase3 times(x+1)-log base3times(x)=3 \n" ); document.write( "log3(x+1)-log3(x)=3 \n" ); document.write( "place under single log \n" ); document.write( "log3[(x+1)/x]=3 \n" ); document.write( "convert to exponential form \n" ); document.write( "3^3=(x+1)/x \n" ); document.write( "27=(x+1)/x \n" ); document.write( "27x=x+1 \n" ); document.write( "26x=1 \n" ); document.write( "x=1/26 \n" ); document.write( ".. \n" ); document.write( "2. Solve the equation and round to 4decimal place. \n" ); document.write( "(1+r)^3=4.2 \n" ); document.write( "take cube root of both sides \n" ); document.write( "1+r=cube root of 4.2 \n" ); document.write( "1+r=1.613 \n" ); document.write( "r=1.613-1≈.613 \n" ); document.write( ".. \n" ); document.write( "3. rewrite the expression as a single logarithm. \n" ); document.write( "log(b)+3log(c) \n" ); document.write( "log(b)+log(c^3) \n" ); document.write( "log(bc^3)\r \n" ); document.write( "\n" ); document.write( "4. the following equation involves more than one exponential expression. Solve the equation \n" ); document.write( "2^4x+2=7 \n" ); document.write( "2^4x=7-2=5 \n" ); document.write( "4xlog2=log5 \n" ); document.write( "4x=log(5)/log(2) \n" ); document.write( "using calculator \n" ); document.write( "4x=2.322 \n" ); document.write( "x≈.580\r \n" ); document.write( "\n" ); document.write( "5. Use a calculator and the base-change formula to find the following logarithm. logbase8.8(4.9) Don't round until final answer(4 decimal places) \n" ); document.write( "log8.8(4.9)=log(4.9)/log(8.8)≈.7308 \n" ); document.write( " |