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Popular >

x=7log_{x}(sqrt(e))

Solution

x = 7 lo g_{x} (e)

Solution

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

+1

Decimal

x = 3.09655 \dots

Solution steps

x = 7 lo g_{x} (e)

Switch sides

7 lo g_{x} (e) = x

Divide both sides by

7

lo g_{x} (e) = \frac{x}{7}

If

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

x^{l o g_{x} (e)} = x^{\frac{x}{7}}

Simplify

x^{l o g_{x} (e)} : e

e = x^{\frac{x}{7}}

Solve

e = x^{\frac{x}{7}} : x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

Verify Solutions:

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

True

The solution is

x = \frac{7}{2 W _{0} ( \frac{7}{2} )}

Graph

Popular Examples

solvefor y,ln(y^2)=z solve for

y, ln (y^{2}) = z

log_{8}(8x^2)=1

lo g_{8} (8 x^{2}) = 1

1 + \frac{1}{x} + ln (x) = 0

solvefor y,ln(y-14)=x+ln(x)solve for

y, ln (y - 14) = x + ln (x)

log_{5}(x^2)+9=2

lo g_{5} (x^{2}) + 9 = 2

Frequently Asked Questions (FAQ)

What is the answer to x=7log_{x}(sqrt(e)) ?
The answer to x=7log_{x}(sqrt(e)) is x= 7/(2\W_{0)(7/2)}