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In the general form of a logarithmic function 𝑓(𝑥)=log𝑏⁡(𝑥), what does 𝑏 represent?

Question

In the general form of a logarithmic function 𝑓(𝑥)=log𝑏⁡(𝑥), what does 𝑏 represent?

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Solution

In the general form of a logarithmic function 𝑓(𝑥)=log𝑏⁡(𝑥), 𝑏 represents the base of the logarithm. This is the number that is raised to a power to get the number inside the logarithm. For example, in the equation log2(8) = 3, 2 is the base. This is because 2 raised to the power of 3 equals 8.

Similar Questions

What is the base of the logarithm 𝑦=ln(𝑥)?

When 𝑙𝑜𝑔4𝑥=–3,log 4​ x=–3, what is 𝑥x ?

The logarithmic function f(x)=logbx𝑓(𝑥)=log𝑏⁡𝑥 can also be written in exponential form as:Question 6Select one:a.y=bx𝑦=𝑏𝑥b.x=by𝑥=𝑏𝑦c.b=yx𝑏=𝑦𝑥d.b=xy

What is the inverse function of 𝑦=log2(𝑥)?

What is the domain of the logarithmic function 𝑦=log2(𝑥)?

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