If 16^x=1/64find the value of x

Mathematics

2 answers:

Vaselesa [24]3 years ago

8 0

Answer:

x= -3/2, -11/2 or -1.5

Kryger [21]3 years ago

3 0

Answer:

Step-by-step explanation:

16^x=1/64

$(2^4)^x=64^{-1} =(2^6)^{-1}=2^{-6}\\2^{4x}=2^{-6}\\4x=-6\\x=-\frac{6}{4} =-\frac{3}{2}$

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Your Turn: Find the measure of angle P below. Show your work. *

Virty [35]

Check the picture.

The figure shows lines m, n and the line through points A And B, call it $l_{AB}$ .

1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus,

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.

2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

check the second picture, notice the F shape formed by CBP and P.

Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°

Answer: 133°