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Log(base10)(x+1)-log(base10)(10x-3)=1

User VcRobe
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Keep in mind: logarithmic definition a = log(base b)(b ** a) where ** is exponent and the fact that these logs are the same base (base 10)

Log(base10)(x+1)-log(base10)(10x-3)=1

Log(base10)(x+1)-log(base10)(10x-3) + log(base10)(10x-3)=1 + log(base10)(10x-3)

log(base10)(x+1) = 1 + log(base10)(10x-3)

since 1 = log(base 10)(10) since 10 = 10 ** 1

log(base10)(x+1) = log(base 10)(10) + log(base10)(10x-3)

log(base10)(x+1) = log(base10)(10(10x -3)) since all logs have same base of 10

x + 1 = 10(10x -3)

x + 1 = 100x - 30

-99x = - 31

x = -31/-99 = 0.31

User Ladih
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