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3 years ago

6

Which expressions are equivalent to log4(1/4x^2)

1 answer:

natulia [17]3 years ago

8 0

answer:

simplify:

log 4 ( x 2 ) − 1

evaluate:

log(x^2)/log(4)-1

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Solve 10e^2x - 5 =23^x for x.

yawa3891 [41]

$10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}$

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3 years ago

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melomori [17]

You multiply by 10 or more

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3 years ago

Solve the equation -31=-6z-4z

jok3333 [9.3K]

<span>-31=-6z-4z
Subtract 4z from -6z
-31=-10z
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3 years ago

David rented a truck for one day there was a base base fee of $19.99 and there was an additional charge of $.84 for each mile dr

MissTica

196 Miles

184.63-19.99=164.64

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3 years ago

URGENT!! LAW OF SINES WORK

Lynna [10]

Answer:

1. 7.1 cm

2. 10.9 cm

Step-by-step explanation:

1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.

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2. By the Law of Sines, ...

AB/AC = sin(ACB)/sin(B)

AB = AC·sin(72°)/sin(38°) = 1.545·AC

The approximate value of AC from problem 1 is sufficient to get you close to the answer.

AB ≈ 7.1×1.545 ≈ 10.9 . . . cm

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3 years ago