What is the value of x if 5^x+2=5^9?
1 answer:
In this equation, x = 7.
In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.
First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.
(x + 2)Log5 = 9Log5
Now that we've done this, we can divide both sides by Log5 and eliminate that term.
x + 2 = 9
From here, we simply need to subtract in order to solve.
x = 7
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Answer: y = 2x + 6
Step-by-step explanation:
Here the equation of line,
y = 2x + 1
y-intercept of the line is, (0, 1)
And, the slope of the line is 2.
Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),
Then transformed point are get by,
Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),
Thus, the point of the new line is (0,6)
And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)
Thus, the equation of new line,
(y - 6) = 2 (x - 0)
y - 6 = 2x
y = 2x + 6
