Question

1. - / 1 points

solve for x.
log x = -3
x =
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1. - / 1 points

solve for x.
log₂x = 3
x =
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Explanation:

Problem 9

Step1: Recall the definition of logarithm

If $\log x = y$, then $x = 10^y$ (assuming base 10 for $\log$).
Here, $y = -3$, so we have $x = 10^{-3}$.

Step2: Simplify $10^{-3}$

Using the rule $a^{-n}=\frac{1}{a^n}$, $10^{-3}=\frac{1}{10^3}=\frac{1}{1000}=0.001$.

Step1: Recall the definition of logarithm

If $\log_b x = y$, then $x = b^y$.
Here, $b = 2$ and $y = 3$, so we have $x = 2^3$.

Step2: Calculate $2^3$

$2^3=2\times2\times2 = 8$.

Answer:

$0.001$ (or $\frac{1}{1000}$)

Problem 10