**Enter logarithmic equation expression in this form \log(x^2 – 5) – \log x = \log 4**

\log(x^2 – 3) – \log x = \log 2

\log(x^2 – 5) – \log x = \log 4

A logarithmic equation is an equation that involves logarithms. Logarithmic equations are solved by using properties of logarithms or by converting the equation into exponential form.

The expression

\log(x^2 – 5) – \log x = \log 4can be rewritten using the properties of logarithms as:

\frac{x^2-5}{x}=\log4This can be further simplified to:

(x^2 – 5)/x = 4Multiplying both sides by x to get rid of the fraction:

x^2 – 5 = 4xRearranging the equation into a quadratic form:

x^2 – 4x – 5 = 0

Now we can solve this quadratic equation by factoring or using the quadratic formula. Let’s use the quadratic formula:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} x=\frac{-(-4)\pm \sqrt{(-4)^2-4*1*(-5)}}{2*1}

x = \frac{ (4 ± \sqrt{(16 – (-20)} } {2}

x = \frac{ (4 ± √36)} {2}

x = \frac{ (4 ± 6)} {2}

Therefore, the solutions to the equation are:

x = (4 + 6)/2 = 10/2 = 5

x = (4 – 6)/2 = -2/2 = -1

So, the values of x that satisfy the original logarithmic equation are x = 5 and x = -1.

\log_3(1/27)

\log 27- \log 91

\frac{1}{3}\log 27=81

4^{x-1} = 2^{2x+1}

\log_2 64

Mixed numbers, proper fractions, improper fractions, fraction addition, fraction subtraction, and more...

Convert decimal to fraction, significant figures, decimal places, adding and subtracting decimal,...

Percentage error, changes, quantity, percentage conversions and more worksheets...

Ratio, direct proportion, inverse proportion, Hooke’s law, Charles’s and Ohm’s law

Laws of indices, power, roots, square roots, equation with indices, indexes...

Brackets, order of precedence, division, multiplication and...( watch math tutorials )