Question

log 10 (x-9)+log10x=1 then x=?
answer very important

Answer 1

hey friend..

here is your answer..

hope it will help you

Answer 2

Concept

Exponential functions have inverses called logarithmic functions. x = ay is the inverse of the exponential function y = ax. It is established that the exponential equation x = ay and the logarithmic function y = logax are equal.

Given

log₁₀(x₋9) ₊ log₁₀x = 1

Find

while solving the equation we need to find the value of x.

Solution

log₁₀(x₋9) ₊ log₁₀x = 1

log₁₀[x(x₋9)] = log₁₀

now taking antilog on both sides

x(x₋9) = 10

x² ₋ 9x = 10

x² ₋ 9x ₋ 10 = 0

x² ₋ 10x ₊ x ₋ 10 = 0

x(x₋10) ₊ 1(x₋10)

(x₋10)(x₊1) = 0

∴ x =10 or x = ₋1

Hence we get the value of x as 10 or ₋1.

#SPJ2