Question

Log(6)^84-log(6)^14 кто может решить?:с

Answer 1

По формуле log(a)X - log()aY = log(a) X/Y
log(6)^84-log(6)^14   
log(6) 84/14=6       

Answer 2

Logarithmic Equation

To solve the equation log(6)^84 - log(6)^14, we can use the properties of logarithms. The difference of logarithms with the same base can be expressed as the logarithm of the division of their arguments. Therefore, the equation can be rewritten as:

log(6)^84 - log(6)^14 = log(6)^(84/14)

Now, let's simplify the expression and calculate the result.

Calculation

Using the property of logarithms, we can simplify the expression as follows:

log(6)^(84/14) = log(6)^6

Now, we can calculate the value of log(6)^6.

Solution

The value of log(6)^6 can be calculated as:

log(6)^6 = 6

Therefore, the solution to the equation log(6)^84 - log(6)^14 is 6.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.