6
x2-8x=0 ( add 8x to both sides) x2 =8x (divide by x) x=8 ( x2divided by x equals x)
If you have like terms then to multiply you add the exponents and to divide you subtract.So, x2 * x3 = x5 and y7 / y5 = y2Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)But if you do not have like terms then this does not apply.For example, x2 * y3 does not equal xy5.
2x2 + x2 = 3x2
Only if x is equal to 2.
log(9x) + log(x) = 4log(10)log(9) + log(x) + log(x) = 4log(10)2log(x) = 4log(10) - log(9)log(x2) = log(104) - log(9)log(x2) = log(104/9)x2 = 104/9x = 102/3x = 33 and 1/3
6
x2-8x=0 ( add 8x to both sides) x2 =8x (divide by x) x=8 ( x2divided by x equals x)
x3-x2 Both terms in this expression have x2 in them, so "divide" each term by it using the distributive property in reverse. x2(x-1) = x3-x2 If you "re-distribute" you should see that they are equal.
0
2 log(x) = log(8)log(x2) = log(8)x2 = 8x = sqrt(8) = 2.82843 (rounded)Note that only the positive square root of 8 can serve as a solution to thegiven equation, since there's no such thing as the log of a negative number.
5
If you have like terms then to multiply you add the exponents and to divide you subtract.So, x2 * x3 = x5 and y7 / y5 = y2Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)But if you do not have like terms then this does not apply.For example, x2 * y3 does not equal xy5.
11-x2=-5 add -11 to both sides: 11-x2-11=-5-11 -x2=-16 divide both sides by -2: (-x2)/(-2)=(-16)/(-2) x=8 If the "x2" was supposed to be "x2", meaning exponentiation, ("x squared") and not "x2", implying multiplication, ("x times two") then we'd get: x2=16 x=±4
It equals x2 - 34
2x2 + x2 = 3x2
log x2 = 2 is the same as 2 log x = 2 (from the properties of logarithms), and this is true for x = 10, because log x2 = 2 2 log x = 2 log x = 1 log10 x = 1 x = 101 x = 10 (check)