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Popular >

ln(e)+4ln(x)=ln(e^5)

Solution

ln (e) + 4 ln (x) = ln (e^{5})

Solution

x = e

+1

Decimal

x = 2.71828 \dots

Solution steps

ln (e) + 4 ln (x) = ln (e^{5})

Move

ln (e)

to the right side

4 ln (x) = ln (e^{5}) - ln (e)

Divide both sides by

4

ln (x) = \frac{ln ( e ^{5} ) - ln ( e )}{4}

Apply log rules

x = e

Verify Solutions:

x = e

True

The solution is

x = e

Graph

Popular Examples

log_{10}(x)=6.6

lo g_{10} (x) = 6.6

log_{2}(x)=6-log_{2}(x+12)

lo g_{2} (x) = 6 - lo g_{2} (x + 12)

log_{6}(3-m)+log_{6}(-m-2)=1

lo g_{6} (3 - m) + lo g_{6} (- m - 2) = 1

x^{ln(4)}+4^{ln(x)}=32

x^{l n (4)} + 4^{l n (x)} = 32

ln(x-3)-ln(x+5)=4

ln (x - 3) - ln (x + 5) = 4

Frequently Asked Questions (FAQ)

What is the answer to ln(e)+4ln(x)=ln(e^5) ?
The answer to ln(e)+4ln(x)=ln(e^5) is x=e