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Ierofanga [76]
2 years ago
10

Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10?

Mathematics
1 answer:
weeeeeb [17]2 years ago
6 0
The answer is x= \frac{log_{10} (243 )}{log_{10} (3 )}

3^{x} =243
Logarithm both sides of the equation:
log_{10} (3^{x} ) = log_{10} (243 )
Since: log (a^{b}) = b*log(a), then: log_{10} (3^{x} ) =x*log_{10} (3 )
Back to our equation:
log_{10} (3^{x} ) = log_{10} (243 ) \\ 
x*log_{10} (3 ) = log_{10} (243 ) \\ 
x= \frac{log_{10} (243 )}{log_{10} (3 )}



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Answer:

Step-by-step explanation:

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Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is

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Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is

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2 years ago
A cellphone service provider charges $5.00 per month and $0.20 per minute per call. If a customer's current bill is $55, how man
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Answer:

250 minutes

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Third option is correct.

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2 years ago
Buenas tardes
DiKsa [7]

No Podemos abrir su foto :c

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Find two additional roots of P(x)=0.<br><br> 13+sqrt 3 and 7i
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now.... keep in mind that, complex solutions or roots, never come all by their lonesome, their sister is always with them, the conjugate, so, for 7i or namely 0 + 7i, her sister is always around, 0 - 7i, which is the other root.
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