Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics
Solution(s) of the equation x^ ( ₁₀ x+7 4 ) =10^ ₁₀ x+1 , is/are
Options
- A1 10000
- B1 10
- C10
- D100
Correct answer
C. 10
Step-by-step solution
x^ ( ₁₀ x+7 4 ) =10^ ₁₀ x+1 Taking log both sides on base, we get ( ₁₀ x+7 4 ) ₁₀ x= ( ₁₀ x+1 ) ₁₀ 10 Put, ₁₀ x=1 (t+7) t=4 t+4 t=-4,1x=10⁻¹, 10