document.write( "Question 473154: Hello there I need help with the following questions please,\r
\n" ); document.write( "\n" ); document.write( "1) Log base 5(x^-2x-10)= 2\r
\n" ); document.write( "\n" ); document.write( "2) 2^3x-7 = 8 ^2x+2\r
\n" ); document.write( "\n" ); document.write( "3) x = log of Square root 512 to the base of square root 2\r
\n" ); document.write( "\n" ); document.write( "4) 7^x = 1/343\r
\n" ); document.write( "\n" ); document.write( "5) 2x + y^2 - 6y - 12 = 0\r
\n" ); document.write( "\n" ); document.write( "any help will be greatly appreciated.
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Algebra.Com's Answer #324472 by katealdridge(100)\"\" \"About 
You can put this solution on YOUR website!
1) \"log%285%2C%28x%5E2-2x-10%29%29=+2\" Convert this equation to an exponential.
\n" ); document.write( "\"5%5E2=x%5E2-2x-10\" Solve this quadratic
\n" ); document.write( "\"25=x%5E2-2x-10\"
\n" ); document.write( "\"0=x%5E2-2x-35\"
\n" ); document.write( "\"0=%28x-7%29%28x%2B5%29\"
\n" ); document.write( "\"x=7\"\"x=-5\"\r
\n" ); document.write( "\n" ); document.write( "2) \"2%5E%283x-7%29=8%5E%282x%2B2%29\" Try to get the bases to be equal. Change 8 to \"2%5E3\"
\n" ); document.write( "\"2%5E%283x-7%29=2%5E%283%282x%2B2%29%29\" Distribute the 3
\n" ); document.write( "\"2%5E%283x-7%29=2%5E%286x%2B6%29\" Remove bases. Once the bases are the same, the exponents equal each other
\n" ); document.write( "\"3x-7=6x%2B6\" Solve for x.
\n" ); document.write( "\"-13=3x\"
\n" ); document.write( "\"x=-13%2F3\"\r
\n" ); document.write( "\n" ); document.write( "3) \"x=log%28sqrt%282%29%2Csqrt%28512%29%29\" not sure if this is what you meant
\n" ); document.write( "Change to an exponential equation
\n" ); document.write( "\"sqrt%282%29%5Ex=sqrt%28512%29\" Change 512 to something with a base of 2. Also change square roots into rational exponents
\n" ); document.write( "\"2%5E%28%281%2F2%29%2Ax%29=512%5E%281%2F2%29\"
\n" ); document.write( "\"2%5E%28%281%2F2%29%2Ax%29=2%5E%289%2A%281%2F2%29%29\" Now remove the bases since they are the same.
\n" ); document.write( "\"%281%2F2%29x=9%281%2F2%29\" Solve for x.
\n" ); document.write( "\"x=9\"\r
\n" ); document.write( "\n" ); document.write( "4) \"7%5Ex+=+1%2F343\" Try to get 343 into a base of 7
\n" ); document.write( "\"7%5Ex=343%5E-1\"
\n" ); document.write( "\"7%5Ex=7%5E%283%2A-1%29\"
\n" ); document.write( "\"7%5Ex=7%5E-3\"
\n" ); document.write( "\"x=-3\"\r
\n" ); document.write( "\n" ); document.write( "5) \"2x+%2B+y%5E2+-+6y+-+12+=+0+\" What are the directions?
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