HELP!!

Solve for x:
logx - log(x+5) = log2

need step-by-step solution

no solution

Step-by-step explanation:

logx - log(x+5) = log2,

logx = log2 + log(x + 5),

Remember that logs of the same base can be added together by multiplying their arguments:

log(x) = log [(x + 5)*2]

We cancel the logarithms by taking the exponents of both sides:

x = (x + 5)*2,

x = - 10

But x = - 10 makes the value undefined, so we say no solution.