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natima [27]
3 years ago
12

The answer to this equation​

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

We are given the equation

log5x=log(2x+9)

This can be rewritten as

log5x-log(2x+9)=0

Now using the quotient rule for logarithms we can combine these two

log(\frac{5x}{2x+9} )=0

Next we can remove the log by using an inverse operation

10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1

Now we can solve for x

\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3

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the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.​
vovikov84 [41]
Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
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Wen takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. what does s5 represent
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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