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Aleksandr [31]
3 years ago
5

Solving Exponential Equations (lacking a common base) 31^d=38

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

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vesna_86 [32]

Answer:

y = 4x

Step-by-step explanation:

Given

x = 44

y = 176

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

y = kx

Where k is the unit rate.

Substitute 176 for y and 44 for y

176 = k * 44

Divide both sides by 44

\frac{176}{44} = \frac{44*k}{44}

\frac{176}{44} = k

4 = k

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Substitute 4 for k in y = kx

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3 years ago
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Ludmilka [50]
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3 years ago
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4 0
3 years ago
5/6 (x - 1) = 4 what Is x
vfiekz [6]
5/6(x-1)=4
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To check:

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