Can log x/y be written as log x log y?

No, according to the property of logarithm,it says that log(x*y) =logx+logy.

What is LOGX * log Y?

Here is the answer to your question. Logx/logy=log (base y)x where x>0 and y>0 and not equal to 1.

Why is log XY log X?

The logarithm of a number with respect to a certain base is just the exponent to which this vase must be raised to give the number. Now if you multiply these numbers you get (according to the basic rule of indices) bxby=bx+y, so that the logarithm of the product to the base b is just the sum of the logarithms x+y.

What is e raised to LOGX?

The natural logarithm of x is the power to which e would have to be raised to equal x. For example, ln 7.5 is 2.0149…, because e2.0149… = 7.5. The natural logarithm of e itself, ln e, is 1, because e1 = e, while the natural logarithm of 1 is 0, since e0 = 1.

What is log XY equal to?

log (x.y) = log x + log y.

Is Loga LOGB the same as Loga LOGB?

Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this case 10, is used throughout the calculation. You should verify this by evaluating both sides separately on your calculator.

What is the log of X to the power of Y?

The logarithm of x raised to the power of y is y times the logarithm of x. log b ( x y) = y ∙ log b ( x) The base b logarithm of c is 1 divided by the base c logarithm of b. The base b logarithm of x is base c logarithm of x divided by the base c logarithm of b.

How do you find the log of X divided by Y?

The quotient of x divided by y is the inverse logarithm of the subtraction of log b ( x) and log b ( y ): x / y = log -1 (log b ( x) – log b ( y )) The logarithm of the exponent of x raised to the power of y, is y times the logarithm of x. log b (2 8) = 8 ∙ log b (2)

What is the logarithm of a division of X and Y?

The logarithm of a division of x and y is the difference of logarithm of x and logarithm of y. log b(x / y) = log b(x) – log b(y) For example: log b(3 / 7) = log b(3) – log b(7) The quotient rule can be used for fast division calculation using subtraction operation.

What are the rules and properties of logarithm?

Logarithm rules and properties: Rule name Rule Logarithm product rule log b ( x ∙ y) = log b ( x) + log b ( y) Logarithm quotient rule log b ( x / y) = log b ( x) – log b ( y) Logarithm power rule log b ( x y) = y ∙ log b ( x) Logarithm base switch rule log b ( c) = 1 / log c ( b)