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3 years ago

Solve the expression 9.50h+60=460

2 answers:

6 0

9.50h+60=460
subtract 60 from both sides
9.50h=400
divide both sides by 9.50
h=<span>42.105263
</span>round to the nearest hundredth
h=42.11<span>

</span>

Gre4nikov [31]3 years ago

6 0

9.50h+60=460
Subtract the 60 from both sides
9.50h=400
Divide by 9.50 on both sides
9.50h/9.50=400/9.50
h=about 42.105 or 800/19

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$\log_34\approx 1.262$

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The value of $\log_3\left(\dfrac{4}{49}\right)$ .

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We have,

$\log_34\approx 1.262$

$\log_37\approx 1.771$

Using properties of log, we get

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349$ $\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2$

$\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37$ $[\log x^n=n\log x]$

Substitute $\log_34\approx 1.262$ and $\log_37\approx 1.771$ .

$\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)$

$\log_3\left(\dfrac{4}{49}\right)=1.262-3.542$

$\log_3\left(\dfrac{4}{49}\right)=-2.28$

Therefore, the value of $\log_3\left(\dfrac{4}{49}\right)$ is $-2.28$ .

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