CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Logarithmic Differentiation

Solve the fol...

Question

Solve the following equation:
$\frac{1}{2} log (5 x - 4) + log \sqrt{x + 1} = 2 + log 0.18$

Open in App

Solution

$\frac{1}{2} l o g (5 x - 4) + l o g \sqrt{x + 1} = 2 + l o g (0.18) \Rightarrow l o g (5 x - 4) + 2 l o g \sqrt{x + 1} = 2 [2 + l o g (0.18)] \Rightarrow (5 x - 4) (x + 1) = 324 \Rightarrow {5 x}^{2} + 4 x - 328 = 0 \Rightarrow {5 x}^{2} + 41 x - 40 x - 328 = 0 \Rightarrow x (5 x + 41) - 8 (5 x + 41) = 0 \Rightarrow x = 8, \frac{- 41}{3} .$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following equation:

{log}_{2} (4^{x} + 4) = {log}_{2} 2^{x} + {log}_{2} (2^{x + 1} - 3)

Q. Solve the following equation:

log 2 + log (4^{x - 2} + 9) = 1 + log (2^{x - 2} + 1)

Q. Solve the following equation:

log (3^{x} - 2^{4 - x}) = 2 + \frac{1}{4} log 16 - \frac{x log 4}{2}

Q. Solve the following equation:

\frac{2 log x}{log (5 x - 4)} = 1

Q. Solve the following equation:

4^{log x + 1} - 6^{log x} - 2 \cdot 3^{log x^{2} + 2} = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Logarithmic Differentiation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Logarithmic Differentiation

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon