Question

Log 200 ≈ 2.301
Write the equation in exponential form

Answer 1

It cannot be answer because a number or variable has to be after log200 because that's how you would get the answer 2.301.

Step-by-step explanation:

So tell me the variable or number and I'll answer it form there.

Answer 2

The exponential form of the logarithmic equation 'log 200 ≈ 2.301' is '10 to the power of 2.301 is approximately equal to 200', which means 10 raised to the power of 2.301 roughly equals 200.

Step-by-step explanation:

The equation in exponential form for the given logarithmic statement log 200 ≈ 2.301 should be translated into the following:

102.301 ≈ 200

Here, the base of the logarithm is assumed to be 10 since it is not specified, which is a common log or log base 10. In exponential form, it says that 10 raised to the power of 2.301 is approximately equal to 200.

Understanding Logarithms and Exponents

The common logarithm of a number is the exponent by which the base (usually 10) must be raised to produce that number. For example, the common logarithm of 100 is 2 because 102 equals 100. When dealing with the common logarithm of a number less than 1, the resulting value is negative, indicating a negative exponent. On the other hand, the natural logarithm uses the base 'e' (approximately 2.7182818).