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3 years ago

3 log 2x=4 Please solve

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

$3 log 2x=4\ /:3\\log2x=\frac{4}{3}\\10^{\frac{4}{3}}=2x\ /:2\\x=\frac{10\sqrt[3]{10} }{2}\\x=5\sqrt[3]{10}$

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5. Mississippi and Georgia have a total of 21 electoral votes. Mississippi has 6 electoral votes. Use mental math or the guess,

MrRa [10]

Answer: g = 15 . Georgia has 15 electoral votes.

Step-by-step explanation:

Mental math: How many do I need to make up the difference?

counting by 5s: 5, 10 15, 20.

6 is one more than 5.

From 5, three more 5's gets us close to 20. It works.

6 + 15 = 21

8 0

3 years ago

12 boys collected 16 aluminum cans each 15 girls collected 14 aluminum cans how meany cans did the girls collected than the boys

ANEK [815]

Answer:

Step-by-step explanation:

Since the boys collected 16 cans each and there are 12 of them it means they collected 16*12= 192 cans in total

there are 15 girls and each collected 14 cans. Therefore they collected 15*14=210 cans in total

210-192=18 cans the girls collected more than the boys

5 0

3 years ago

What is y-2=-3x(x-7) written in standard form?

Len [333]

Answer:

The equation in standard form is

−

Explanation:

The standard form for a linear equation is

, where

and

are numbers, and

and

are variables.

−

Subtract

from both sides of the equation.

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Multiply both sides by

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8 0

3 years ago

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0

2 years ago

Read 2 more answers

Find the unknown sizes of angles in the following figure:

8090 [49]

Answer:

angle x is 86

angle y is 38

Step-by-step explanation:

7 0

3 years ago