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3 years ago

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 (2)=2x−1

Mathematics

1 answer:

monitta3 years ago

7 0

Answer:

$9^{2x-1} = 2\\$

Step-by-step explanation:

According to the law of logarithm;

$If \ log_ab = x\\a^x = b$

Given

$\log_9\left(2\right)=2x-1$

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

$9^{2x-1} = 2\\$

This gives the required exponential equation

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A ferry traveled \dfrac16 6 1 start fraction, 1, divided by, 6, end fraction of the distance between two ports in \dfrac37 7 3

Ugo [173]

Answer:

The ferry can travel $\frac{7}{18}$ of the distance between the two ports in one hour.

Step-by-step explanation:

A ferry traveled $\frac{1}{6}$ of the distance between two ports in $\frac{3}{7}$ hour.

Suppose, the ferry traveled $x$ of the distance between the two ports in one hour.

So, the equation according to the ratio of "distance" to "time" will be.......

$\frac{\frac{1}{6}}{\frac{3}{7}} =\frac{x}{1} \\ \\ x=\frac{1}{6}\times \frac{7}{3}= \frac{7}{18}$

Thus, the ferry can travel $\frac{7}{18}$ of the distance between the two ports in one hour.

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3 years ago

Read 2 more answers

Noah and Maggie are making a rectangular picture frame.They want the length of the frame to be three inches longer than the widt

zalisa [80]

Answer:

9 inches by 12 inches

Step-by-step explanation:

So let's say L=length and W=width.

Since the problem states that the length should be 3 inches longer than the width, L= W+3

And the formula to find the perimeter of a rectangle is 2L+2W

so plug in W+3 for L and you get 2(W+3)+2W

Then distribute

2W+6+2W

Combine like-terms

4W+6

And the problem states the perimeter is 42 inches so,

4W+6=42

Subtract 6 to both sides

4W=36

Divide by 4 to both sides

W=9

So the width is 9

And to get the length, plug in 9 for W in L=W+3

L=9+3

L=12

So the length is 12

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3 years ago

Please help I have no clue what this is I give brainly :)

nalin [4]

196 + x = 500

Subtract 196 from both sides:
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3 years ago

A carpenter has 16 1/2 m of wood. He cuts the wood into pieces that are each 2 3/4 m long.

mario62 [17]

So your question is how pieces are there?? If it is:
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3 years ago

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches,

ipn [44]

Circumference = 2 x pi x radius
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3 years ago

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 ​ (2)=2x−1

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 (2)=2x−1