Question

Number of solution of the equation 2^1ogx + 8 = $(x - 8)^{\frac{1}{1og_{10}2}}$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (A)

1

Answer 2

Q L.H.S.= f(x)

& R.H.S. = f^–1(x)

\f(x) = f^–1(x) = x

̃ $(x - 8)^{1/\log_{10}2}$= x

̃ $\frac{1}{\log_{10}2}$ log₁₀(x – 8) = log₁₀x

̃ log_x (x – 8) = log₁₀2

̃ x – 8 = 2 & x = 10

x = 10 is the solution.