document.write( "Question 148079: I need help with these algebra questions\r
\n" ); document.write( "\n" ); document.write( "1. Find the inverse of the function f(x)=8x+16\r
\n" ); document.write( "\n" ); document.write( "2. Write y=x^5 in log form\r
\n" ); document.write( "\n" ); document.write( "3. Write log 7 49=2 in expotonential form (log base 7 of 49 equals 2)\r
\n" ); document.write( "\n" ); document.write( "4. use the change-of-base formula (log,r=log r/log a
\n" ); document.write( " b b
\n" ); document.write( "to solve for x: x=log3 90\r
\n" ); document.write( "\n" ); document.write( "5. Solve for x: 9/(4x)+1/3=5/(2x)\r
\n" ); document.write( "\n" ); document.write( "6. Sove the system of linear equations: 2x+3y=-5 and y=2x+9\r
\n" ); document.write( "\n" ); document.write( "I get really confuse on #4, because after looking at the formula I found in the book to say; a,b and r are positive numbers, with a=1 (with slash through middle of =) and b=1(also with slash through middle of equal sign) then the formula property log,r=log r/log a
\n" ); document.write( " b b
\n" ); document.write( "the b is under the r and a like when putting x^2 I hope that makes sense to you.
\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #108469 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1. Find the inverse of the function f(x)=8x+16
\n" ); document.write( "Interchange x and y to get:
\n" ); document.write( "x = 8y + 16
\n" ); document.write( "Solve for y
\n" ); document.write( "y = (-1/*)x - 2
\n" ); document.write( "---------------------------
\n" ); document.write( "2. Write y=x^5 in log form
\n" ); document.write( "log(base x) y = 5
\n" ); document.write( "-------------------------
\n" ); document.write( "3. Write log 7 49=2 in exponential form
\n" ); document.write( "7^2 = 49
\n" ); document.write( "-------------------------
\n" ); document.write( "4. use the change-of-base formula (log,r=log r/log a
\n" ); document.write( "b b to solve for x: x=log3 90
\n" ); document.write( "x = [log 90]/[log 3]
\n" ); document.write( "-------------------------------
\n" ); document.write( "5. Solve for x: 9/(4x)+1/3=5/(2x)
\n" ); document.write( "Multiply thru by 12x to get:
\n" ); document.write( "27 + 4x = 30
\n" ); document.write( "4x = 3
\n" ); document.write( "x = 3/4
\n" ); document.write( "-------------------------------
\n" ); document.write( "6. Solve the system of linear equations: 2x+3y=-5 and y=2x+9
\n" ); document.write( "Substitute to solve for \"x\":
\n" ); document.write( "2x + 3(2x+9) =9
\n" ); document.write( "8x + 27 = 9
\n" ); document.write( "8x = -28
\n" ); document.write( "x = -19/4
\n" ); document.write( "---
\n" ); document.write( "Substitute into y = 2x+9 to solve for \"y\":
\n" ); document.write( "y = 2(-19/4)+9
\n" ); document.write( "y = -39/4 + 36/4
\n" ); document.write( "y = -3/4
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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