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dalvyx [7]
3 years ago
11

Anyone able to help???

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0
Ah sorry I can’t , so sorry
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Hello, help me please)
AlladinOne [14]

Answer:

Given equation:

10^{5x-2}=2^{8x-3}

Take natural logs of both sides:

\implies \ln 10^{5x-2}= \ln 2^{8x-3}

\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax

\implies (5x-2)\ln 10=(8x-3) \ln 2

Expand brackets:

\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2

Collect like terms:

\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2

Factor left sides:

\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2

\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax

\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3

\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay

\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)

Simplify:

\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)

\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}

\implies x=0.4232297737...

6 0
2 years ago
Convert (11001) into decimal​
Semenov [28]

Answer:

From the most right side it's 2^0 which is 1. The other ones are 2^4 and 2^3, So 16+8+1=25

7 0
3 years ago
Complete the table below for the function y = -3x+7
KiRa [710]

Answer:

(x,y)--> (2,1), (4, -5), (7, -14), (9, -20), (11, -26)

Step-by-step explanation:

y = -3x + 7

substituting x-values in y= -3x + 7

x = 2

y= -3 × 2 + 7

= -6 + 7

= 1

x=4

y= -3 × 4 + 7

= -12 + 7

= -5

x=7

y= -3 × 7 + 7

= -21 + 7

= -14

x=9

y= -3 × 9 + 7

= -27 + 7

= -20

x=11

y= -3 × 11 + 7

= -33 + 7

= -26

6 0
3 years ago
Kari wins 1,282 tickets at an arcade. For each group of 65 tickets, she will receive a prize.
soldier1979 [14.2K]

Answer: 18

Step-by-step explanation:

1282 divided by 65 = 19 R 47

65 - 47=18

3 0
3 years ago
Identify m∠KOL. HELP PLEASE!!
musickatia [10]

Answer:

30°

Step-by-step explanation:

In m KÔL, the angle is Ô and angle Ô is actually 30 degrees ;)

8 0
4 years ago
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