Write the expression as a single logarithm log3 40-log3 10

An expression can be written as a single expression as equal to

The logarithm is defined as the inverse function to exponentiation.

The logarithm of a given number to the base '' is the exponent indicating the power to which the base '' must be raised to obtain the number .

Given expression is .

Use the formula:

Put values of   as respectively.

So, the expression can be written as a single expression as equal to

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log3 4

Step-by-step explanation:

To write the two expressions as a single logarithm, we use the division law of logarithms since they are in the same base already.

Hence, log3 40 - log3 10 = log3 (40/10) = log3 4