Answer:
x = log(33)/(3·log(2))
Step-by-step explanation:
The relevant logarithm relation is ...
log(a^b) = b·log(a)
__
Taking the logarithm of both sides of your equation gives ...
2^(3x) = 33
log(2^(3x)) = log(33)
(3x)·log(2) = log(33)
The coefficient of x is 3·log(2). Dividing by that gives the value of x:
x = log(33)/(3·log(2))
x ≈ 1.51851/(3·0.301030) ≈ 1.6814647
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
area of room=15×12=180 ft²
rug =108 ft²
magnification=√(108/180)=√(9/15)=3/√15
so length of rug=15×3/√15=3√15 ft
width of rug=12×3/√15=36√15/15=2.4√15 ft
Well I believe this could work,
$4.75x + $3.50x = $18
Let's simplify step-by-step.
<span><span>2m</span>−<span>(<span>n−<span>(<span>m−<span>2n</span></span>)</span></span>)
</span></span>Distribute the Negative Sign:
<span>=<span><span>2m</span>+<span><span>−1</span><span>(<span>n−<span>(<span>m−<span>2n</span></span>)</span></span>)
</span></span></span></span><span>=<span><span><span><span>2m</span>+<span><span>−1</span>n</span></span>+<span><span>−1</span><span>(<span>−m</span>)</span></span></span>+<span><span>−1</span><span>(<span>2n</span>)
</span></span></span></span><span>=<span><span><span><span><span><span>2m</span>+</span>−n</span>+m</span>+</span>−<span>2n
</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>2m</span>+<span>−n</span></span>+m</span>+<span>−<span>2n
</span></span></span></span><span>=<span><span>(<span><span>2m</span>+m</span>)</span>+<span>(<span><span>−n</span>+<span>−<span>2n</span></span></span>)
</span></span></span><span>=<span><span>3m</span>+<span>−<span>3n
</span></span></span></span>Answer:
<span>=<span><span>3m</span>−<span>3<span>n</span></span></span></span>
