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inna [77]
3 years ago
6

Rewrite lnx=4 as an exponential equation rewrite as a logarithmic equation: e^8=y

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ln(x)=4\implies log_e(x)=4\implies e^4=x \\\\\\ e^8=y\implies log_e(y)=8\implies ln(y)=8

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Solve.<br> +<br> Х<br> )<br> =<br> - 1/2 + ( 3/4 x 4/9)
gregori [183]

Steps to solve:

-1/2 + (3/4 * 4/9)

~Simplify

-1/2 + 14/36

~Simplify

-1/2 + 7/18

~Find common denominators

-9/18 + 7/18

~Add

-2/18 or -1/9

Best of Luck!

5 0
3 years ago
Read 2 more answers
Nicholas drew a triangle with 45, 35, and 100 degree angles. Is there another triangle with the same three angles but different
Anna11 [10]

Answer:

Yes, there are infinite triangles with the same three angles but different side lengths

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

therefore

There are infinite triangles with the same three angles but different side lengths

6 0
3 years ago
Is this a true statement? 0.3711 &gt; 0.3801
disa [49]
NO. It's FALSE.

0.\ 3\ 7\ 1\ 1\\||\ ||\wedge\\0.\ 3\ 8


therefore 0.3801 > 0.3711

4 0
3 years ago
Which ordered pairs lie on the graph of the exponential function f(x) = 3 (1/4)x
sineoko [7]
The first two pairs.. just substitute the x-coordinate and find y
8 0
3 years ago
A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot
arlik [135]
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

-------------------------------------------------------------------------
Assumptions 
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children

-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected 
6x + 2y = 618

-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------


The question is not asking for it but if you need to solve the equation to find the answer to x and y

-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165          ------------------------- (eqn 1)
6x + 2y = 618      ------------------------- (eqn 2)

(eqn 1) : 
x + y = 165
x = 165 - y -------------------------  substitute into (eqn 2)

6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 -------------------------  substitute into (eqn 1)

x + y = 165
x + 93 = 165
x = 165 - 93
x = 72 

x = 72 and y = 93

-------------------------------------------------------------------------
Ans: 72 adults and 93 children
-------------------------------------------------------------------------
5 0
3 years ago
Read 2 more answers
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