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3 years ago

Solve the logarithmic equation ln(3x-3) = ln(x-6)

Mathematics

1 answer:

yulyashka [42]3 years ago

6 0

Answer:

x=-3/2

Step-by-step explanation:

=>ln(3x-3)=In(x-6)

=>3x-3=x-6 (since the bases of the logarithms are same)

=>2x=-6+3

=>2x=-3

=>x=-3/2

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2 years ago

Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b

Ronch [10]

Answer:

$4^x-5=6$ gives the solution $x=\frac{\log(11)}{\log(4)}$ .

$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

$4^x=11$

Now write an equivalent logarithm form:

$\log_4(11)=x$

$x=\log_4(11)$

Now using the change of base:

$x=\frac{\log(11)}{\log(4)}$ .

If we assume the equation is $4^{x-5}=6$ , then we use the following process:

$4^{x-5}=6$

Write an equivalent logarithm form:

$\log_4(6)=x-5$

$x-5=\log_4(6)$

Add 5 on both sides:

$x=\log_4(6)+5$

Use change of base formula:

$x=\frac{\log(6)}{\log(4)}+5$

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3 years ago

Which image that would portray the rotation of the given preimage and the rotation arrow.

Brut [27]

Is the arrow the length of the rotation? 90 degrees? if so, the second picture is, with the star at the highest point of the other pictures.
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3 years ago

Read 2 more answers

1/7x-5=2 can anyone solve for X?

Vikki [24]

In this equation x = 49.

In order to find this, follow the order of operation of solving equations.

1/7x - 5 = 2 -----> Add 5 to both sides

1/7x = 7 ----> Multiply both sides by 7

x = 49

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3 years ago

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c

Ad libitum [116K]

Answer:

The correct options is A.

Step-by-step explanation:

The each diagonal of an irregular parallelogram divides the parallelogram in two equal and congruent parts. The diagonal bisects each other.

It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.

If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.

Therefore the correct option is A.

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3 years ago