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Identify the logarithmic form of 3 to the power of 5 equals 243

Identify the logarithmic form of 3 to the power of 5 equals 243-example-1

2 Answers

4 votes

Final answer:

The logarithmic form of the equation '3 to the power of 5 equals 243' is 'log base 3 of 243 equals 5'.

Step-by-step explanation:

The logarithmic form of the equation 3 to the power of 5 equals 243 can be expressed by using the definition of logarithms which states that if ab = c, then logac = b. Therefore, the logarithmic form of the given equation is log3243 = 5, because 3 raised to the power of 5 gives us 243. Keeping in mind the properties of logarithms helps in understanding the relationship between exponentials and logarithms.

User Keshav Kowshik
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5 votes

Answer:

B = log₃243 = 5

Step-by-step explanation:

By using the rule of aⁿ = b ==> logₐb = n, you can transform the exponent form into a logarithmic form by switching around the values of each letter to their desired place. It is interchangable between the two equations.

User Jeune
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