Is the Unspecified Base of a Logarithm Assumed to Be 10?

[ohhnana]

Homework Statement

10^-10log3

Homework Equations

The Attempt at a Solution

(3)10^-10log

 

[Dick]

Your first expression doesn't mean much until you add some parentheses. Your solution means even less. What the numerical value of 'log'??

 

[ohhnana]

that's the question that was given , I'm guessing the log value is 10

 

[ohhnana]

it's telling me to find the value

 

[eumyang]

You're not listening -- you need parentheses. Do you mean
$$10^{-10\log 3}$$
or
$$10^{-10}\log 3$$
or neither?

 

[ohhnana]

i mean $$10^{-10\log 3}$$

 

[Mark44]

Use the properties of logarithms.
For starters, log a^b = b * log a

 

[HallsofIvy]

Is that logarithm base 10?

 

[jhae2.718]

Is that logarithm base 10?

It's been my experience that, at this level, a logarithm without a specified base is generally the decimal logarithm.