Question

log (x + 4) - log (x - 2) = log 7

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Answer 1

TAKE THIS AS AN EXAMPLE

Solve for x 2 log of x- log of 7 = log of 63

2log(x)−log(7)=log(63)2log(x)-log(7)=log(63)

Simplify the left side.

log(x27)=log(63)log(x27)=log(63)

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

x27=63x27=63

Solve for xx.

x=21,−21x=21,-21

Verify each of the solutions by substituting them into 2log(x)−log(7)=log(63)2log(x)-log(7)=log(63) and solving.

x=21

HOPE THIS WILL HELP YOU