document.write( "Question 1020039: Solve for x , show work please. Can someone check my answers please.\r
\n" ); document.write( "\n" ); document.write( "1). log4 (3x+4)^5=15 \r
\n" ); document.write( "\n" ); document.write( "2). log (x^2-9)=log (5x+5) \r
\n" ); document.write( "\n" ); document.write( "Here is a screenshot of them just incase. Link to screenshot : http://prntscr.com/a42nsg \r
\n" ); document.write( "\n" ); document.write( "my answer for #1 was no solution and my answer for #2 was x=7. Thanks !
\n" ); document.write( "

Algebra.Com's Answer #636088 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Solve for x , show work please. Can someone check my answers please.\r
\n" ); document.write( "\n" ); document.write( "1). log4 (3x+4)^5=15 \r
\n" ); document.write( "\n" ); document.write( "2). log (x^2-9)=log (5x+5) \r
\n" ); document.write( "\n" ); document.write( "Here is a screenshot of them just incase. Link to screenshot : http://prntscr.com/a42nsg \r
\n" ); document.write( "\n" ); document.write( "my answer for #1 was no solution and my answer for #2 was x=7. Thanks !
\n" ); document.write( "1).
\n" ); document.write( "
NOT QUITE!!
\n" ); document.write( "\"log+%284%2C+%283x+%2B+4%29%29%5E5+=+15\"
\n" ); document.write( "\"5+%2A+log+%284%2C+%283x+%2B+4%29%29+=+15\" ------- Applying \"log+%28a%2C+b%29%5Ec+=+c+%2A+log+%28a%2C+%0D%0Ab%29\"
\n" ); document.write( "\"log+%284%2C+%283x+%2B+4%29%29+=+15%2F5\" --------- Dividing by 5
\n" ); document.write( "\"log+%284%2C+%283x+%2B+4%29%29+=+3\"
\n" ); document.write( "\"3x+%2B+4+=+4%5E3\" --------------- Converting to EXPONENTIAL form
\n" ); document.write( "3x + 4 = 64
\n" ); document.write( "3x = 64 - 4
\n" ); document.write( "3x = 60
\n" ); document.write( "x = \"60%2F3\", or \"highlight_green%28x+=+20%29\"
\n" ); document.write( "OR
\n" ); document.write( "\"log+%284%2C+%283x+%2B+4%29%29%5E5+=+15\"
\n" ); document.write( "\"%283x+%2B+4%29%5E5+=+4%5E15\"
\n" ); document.write( "\"%283x+%2B+4%29%5E5+=+%284%5E3%29%5E5\"
\n" ); document.write( "\"3x+%2B+4+=+4%5E3\"
\n" ); document.write( "\"3x+=+4%5E3+-+4\"
\n" ); document.write( "3x = 60
\n" ); document.write( "x = \"60%2F3\", or \"highlight_green%28x+=+20%29\"\r
\n" ); document.write( "\n" ); document.write( "2).
\n" ); document.write( "
That's right!! Good job!!
\n" ); document.write( "log (x^2-9)= log (5x+5)
\n" ); document.write( "\"log+%28%28x%5E2+-+9%29%29+=+log+%28%285x+%2B+5%29%29\"
\n" ); document.write( "\"x%5E2+-+9+=+5x+%2B+5\" ------ Applying \"log+%28a%29+=+log+%28b%29\"
\n" ); document.write( "\"x%5E2+-+5x+-+14+=+0\"
\n" ); document.write( "(x - 7)(x + 2) = 0
\n" ); document.write( "x = - 2 is ignored since it's an EXTRANEOUS solution
\n" ); document.write( "Therefore, \"highlight_green%28x+=+7%29\" \n" ); document.write( "
\n" );