log{b} 1000=3
I know b=10 but I don't understand how they got there.

- anonymous

log{b} 1000=3
I know b=10 but I don't understand how they got there.

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

\[\log_{b} 1000=3\]

- anonymous

\[b^3=1000\]
\[3\sqrt{b^3}= 3\sqrt{1000}\]
b=10

- Nnesha

well did you take 3rd root right ?
you can write 1000 in terms of 3 exponents

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- Nnesha

x^3 =1000 ?
what is x

- anonymous

10

- anonymous

What is the point of the 3's in front of the square root signs?

- Nnesha

that's not 3 it's a 3rd rooot i guess
like this \[\huge\rm \sqrt[3]{b^3}\]

- anonymous

Right, I didn't know how to do that

- Nnesha

you can convert 3rd to 1/3 exponent \[\huge\rm \sqrt[3]{b^3} = b^{3 \times \frac{ 1 }{ 3 }}\] so cancel out 3 exponent u have to take 3rd root :=)

- Nnesha

\[\huge\rm \sqrt[3]{b^3} = b^{\cancel3 \times \frac{ 1 }{\cancel 3 }}=b\]

- anonymous

Wouldn't that also mean that 1000 would be multiplied by 1/3?

- Nnesha

yes so 1000 can be written as 10 to the 3rd power \[\huge\rm \sqrt[3]{10^3}\]

- anonymous

See that's where I get confused, so the 1000 get simplified down to 10 because?

- Nnesha

because it's easy to solve without calculator
and it's legal :3

- anonymous

-_- so because 10^3=1000 it gets simplified to 10^3 and since it's the 3rd root the exponent cancels out leaving b=10 ?

- Nnesha

b to the 3rd power so you can either write 10 to the 3rd power or put 3rd root of 1000 into the calculator :=)

- Nnesha

yep

- anonymous

See when I enter that into my calc I get 94.86....

- Nnesha

and it's helpful when you have to find an exponent
given base
for example 10^x = 1000

- Nnesha

what did you enter ?

- freckles

\[3 \sqrt{1000} \neq \sqrt[3]{1000}\]

- anonymous

\[3\sqrt{1000}\]

- anonymous

Yea see I don't know how to enter the latter

- Nnesha

it's not 3 times square root of {1000}
3rd root like \[\sqrt[3]{1000}\]

- Nnesha

ohh then convert 3rd root to 1/3 exponent
\[\huge\rm \sqrt[3]{1000} = (1000)^\frac{ 1 }{ 3 }\]

- anonymous

That works. =] Could you possibly help me with another problem?

- Nnesha

gtg :3 sorry

- anonymous

All's well Thank you for your help :)

- Nnesha

my pleasure

Looking for something else?

Not the answer you are looking for? Search for more explanations.