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Mathematics 23 Online
OpenStudy (anonymous):

Write the equation in exponential form.

OpenStudy (anonymous):

\[\log 10 = 1\]

OpenStudy (anonymous):

10^1 = 10 Base is 10, the answer of 1 is the exponent. Thus 10^1 = 10

OpenStudy (anonymous):

10^1=10

OpenStudy (ahsome):

Assuming the base is \(10\) We know this: \(log_xy=z\) is the same as \(x^z=y\) So lets do it for this \(\log10=1\) \(10^1=10\) \(10=10\)

OpenStudy (anonymous):

Well I'm still confused

OpenStudy (ahsome):

What you confused by?

OpenStudy (anonymous):

So I did this one \[\log_{6}6=1\] The answer to this one is \[6^{1}=6\] So how is this one done the same way?

OpenStudy (anonymous):

when there is no base on a log , the base will always be 10

OpenStudy (anonymous):

Ohhhh. Okay. That helps lots!

OpenStudy (ahsome):

Simply \[\large{\log_xy=z\text{ Is the same as }x^z=y}\] The special thing is when you gave \[\log10=1\]You never told us what the base, or \(x\) value was. In these cases, it is asumed it is \(10\) In the second example, you told us the base was \(6\), so we used that instead of \(10\) \(\text{TL;DR, when in doubt, use 10}\)

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