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3 years ago

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

Mathematics

1 answer:

Ahat [919]3 years ago

8 0

Answer:

$16^x = 1/64$

$(2^4)x=64-^1=(2^6)=2-^6$

$2^4x=2-^6$

$4x=-6$

$x = - \frac{6}{4} = - \frac{3}{2}$

Step-by-step explanation:

$Thanks!!!$

You might be interested in

How many 1/2 go in 3/4<br> How many 1/2 go in to 1/4

dedylja [7]

Answer:

1, 0 or 1, 1/2

Step-by-step explanation:

$\frac{1}{2} = \frac{2}{4}$

2 goes into 3 once

and doesn't fit into 1

So, $\frac{2}{4}$ goes into $\frac{3}{4}$ once

and it doesn't go into $\frac{1}{4}$

It could also be 1, 1/2

because half of two can fit into 1

so half of $\frac{2}{4}$ can go into $\frac{1}{4}$

I don't know which one you're looking for...

Sorry

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3 years ago

In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothes

tigry1 [53]

An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).

<h3>The importance of mathematical proofs.</h3>

Generally, some of the importance of mathematical proofs include the following:

They elucidate on why a conjecture is false (untrue).

It provides a rational and logical justification for a theory.

In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:

It leads to the misinterpretation of concepts and theories.

It produces wrong results.

Outside the world of geometry, there are different kinds of proofs and these include:

The Big Bang theory.
Reflection of light by a plane mirror.
Surface tension in water.

Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.

Read more on proofs here: brainly.com/question/26283907

#SPJ1

6 0

2 years ago

Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne

BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

$\triangle HGI, \triangle JKL$

$G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)$

$J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)$

Given that:

$HI\cong KL$ and

$\angle I \cong \angle L$

<em>SAS congruence </em>between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. $\triangle GHI \cong \triangle JKL$ by SAS congruence we need to prove that