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What s the G of x if it equals log 2 x plus 2?
G(x) = log(2x) + 2, obviously!
What is x in the equation 12 to the 2x power equals 28?
(12)2x = 28(2x) log(12) = log(28)2x = log(28) / log(12) = 1.34098 (rounded)x = 0.67049 (rounded)
How do you sole X when logx-3 plus logx-2 equals log2x plus 24?
We can't see the parentheses, and there are at least two ways to read this.Here are solutions for the most likely two:--------------------------------------------------------log(x) - 3 + log(x) - 2 = log(2x) + 24Add 5 to each side:log(x) + log(x) = log(2x) + 29Subtract log(2x) from each side:log(x) + log(x) - log(2x) = 29Combine the logs on the left side, and massage:log( x2/2x ) = log( x/2 ) = 29Take the antilog of each side:x/2 = 1029Multiply each side by 2:x = 2 x 1029------------------------------------------------log(x - 3) + log(x - 2) = log(2x + 24)Combine logs on the left side:log[ (x-3) (x-2) ] = log(2x + 24)Take antilog of each side:(x-3) (x-2) = 2x + 24Expand the left side:x2 - 5x +6 = 2x + 24Subtract (2x+24) from each side:x2 - 7x - 18 = 0Factor:(x - 9) (x + 2) = 0Whence:x = 9x = -2We have to discard the solution [ x = -2 ] because one term in the equationis log(x-2).If 'x' were -2 then we'd have log(-4) but negative numbers don't have logs.
How do you solve for x in 4 to the x power equals 4 to the 2x plus 1 power?
4x = 42x+1Take the logarithm of each side of the equation:x log(4) = (2x+1) log(4)Divide each side of the equation by log(4) :x = 2x + 1Subtract 'x' from each side:x + 1 = 0Subtract ' 1 ' from each side:X = -1Check it out:4x = 42x+14(-1) = (?) 4(-2+1)4(-1) = 4(-1) yay!
2X plus 2X plus 9X equals?
it equals 13X.
