Math Doubts

Logarithmic equations Problems and solutions

Solving the logarithmic equations in mathematics is another type of logarithmic problems. In fact, the log equations are solving for evaluating variables. For solving the logarithm equations, it is essential for everyone to have knowledge on fundamental operations of mathematics and also the rules of the logarithms.

Solve $\log_{5}{(x)}+\log_{x}{(5)}$ $\,=\,$ $\dfrac{5}{2}$

Solve $\log_{3}{\big(5+4\log_{3}{(x-1)}\big)}$ $\,=\,$ $2$

Evaluate $\dfrac{x}{y}+\dfrac{y}{x}$ if $\log{\Big(\dfrac{x+y}{3}\Big)}$ $\,=\,$ $\dfrac{1}{2}(\log{x}+\log{y})$

Solve $x$ $+$ $\log{(1+2^x)}$ $=$ $x\log{5}$ $+$ $\log{6}$

Solve $\log_{10}{\Big(98+\sqrt{x^2-12x+36}\Big)}$ $\,=\,$ $2$

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Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

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