2 years ago

Rewrite in radical form (-243)2/5

Mathematics

1 answer:

nadezda [96]2 years ago

7 0

Answer:

243 and 2 over 5

Multiply

(−243) and 2 over 5 . −486 over 5.

Move the negative in front of the fraction.

−486 over 5

Exact Form:

-486 over 5

Decimal Form:

-97.2

Mixed Number Form:

-97 and 1 over 5

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I need to calculate X 2^x=200 Solve for x

antoniya [11.8K]

Remember
$log(a^z)=zlog(a)$
so

notice that 200=2*2*2*5*5, so x cannot be a whole number

take the log base 10 of both sides

$log_{10}(2^x)=log{10}(200)$
$xlog_{10}(2)=log{10}(200)$
divide both sides by $log_{10}(2)$
$x= \frac{log_{10}(200)}{log_{10}(2)}$

if we used $log_{2}$ instead of $log_{10}$ we would get
$x= log_{2}(200)$ because $log_{a}(a^b)=b$

8 0

3 years ago

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Feliz [49]

the answer shows in the picture