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log325 + log34 = log3(25*4) = log3(100) = log10100/log103 = 2/log103

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Q: How do you simplify log base 3 25 plus log base 3 4 and express using base 10 logarithms?
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Related questions

How do you express using the power of 10?

You could take logarithms to base 10.


The base of common logarithms?

The base of common logarithms is ten.


Can logarithmic functions with different bases be combined into a single logarithm?

You can convert logarithms of different bases to the same base. After that, you may or may not be able to simplify the resulting expression. Example of change-of-base: log21024 = ln(1024) / ln(2) Instead of natural logarithms, you can convert to any other base: log21024 = log10(1024) / log10(2)


Why were logarithms originally developed?

Logarithms are actually an area of mathematics. Using logarithms one might ask the question, "what is the logarithm of 5 (base 10 being assumed)" And the answer would be, you would raise 10 to the power 0.698970004 to result in 5.


What is the change of base formula?

In math, that may either refer to changing the base of the number system (for example, change from decimal (base 10) to binary (base 2)); or it may refer to changing logarithms, from one base to another - for example, common (base-10) logarithms to natural (base-e) logarithms.


Do all logarithms require a base of 10?

No. The so-called "natural" logarithms have a base of ' e ', and you can find the log of any positive number to any base you like.


Whats the base of common logarithms?

10


What is a common logarithm?

Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.


What are in the logarithms table?

The logarithms of numbers from 1 to 10 in small steps, including rules for interpolation. There may also be logarithms of common trigonometric functions such as sine and cosine.The logarithms will often be to base 10 and natural logs (base e). The tables will also contain antilogarithms.


What is the logarithm of 589?

To which base? To base e (natural logarithms) loge 589 ~= 6.378 To base 10 (common logarithms) log10 589 ~= 2.77 To base 2 (a base I quite like) log2 589 ~= 9.202


What is the volue of log 2?

That depends on the base you are using - base 10, base e, or some other base. Any scientific calculator should be able to calculate logarithms both in base 10 and in base e quickly.


What is the difference in the Natural Logarithmic Function and the Common Logarithmic Function?

Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.