document.write( "Question 595195: Please help me with these problems and please show all work. Thanks in advance and God bless.\r
\n" ); document.write( "\n" ); document.write( "1. Solve for x. logbase3 times(x+1)-log base3times(x)=3\r
\n" ); document.write( "\n" ); document.write( "2. Solve the equation and round to 4decimal place. (1+r)^3=4.2\r
\n" ); document.write( "\n" ); document.write( "3. rewrite the expression as a single logarithm. log(b)+3log(c).\r
\n" ); document.write( "\n" ); document.write( "4. the following wquation involves more than one exponential expression. Solve the equation 2^4x+2=7\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)
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Algebra.Com's Answer #377213 by lwsshak3(11628)\"\" \"About 
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
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