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Logarithmic Differentiation

Solve log9 ...

Question

Solve $l o g_{9} x + l o g_{x^{2}} 3 = 0$

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Solution

$x = - 3$ is satisfy the given problem

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Similar questions

log 7^{x} = log 9^{x - 2}

Q. Solve for x, y, and z:

l o g_{3} y + l o g_{9} z + l o g_{9} x = 2

Q. Find the number of solution(s) of the equation

{log}_{9} (x + 1) . {log}_{2} (x + 1) - {log}_{9} (x + 1) - {log}_{2} (x + 1) + 1 = 0

Q. The value of

x

which satisfies

{log}_{3} x + {log}_{9} x + {log}_{27} x = \frac{11}{2}

Q. The number of solutions of the equation

\frac{1}{2} {log}_{\sqrt{3}} (\frac{x + 1}{x + 5}) + {log}_{9} (x + 5)^{2} = 1

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