What is the answer to aln(a)-a*1=0 ?

The answer to aln(a)-a*1=0 is a=e

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aln(a)-a*1=0

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Solution

a ln (a) - a \cdot 1 = 0

Solution

a = e

Decimal Notation

a = 2.71828 \dots

Solution steps

a ln (a) - a \cdot 1 = 0

Multiply:

a \cdot 1 = a

a ln (a) - a = 0

Move

a

to the right side

a ln (a) = a

Move

a

to the left side

a ln (a) - a = 0

Factor

a ln (a) - a : a (ln (a) - 1)

a (ln (a) - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or ln (a) - 1 = 0

Solve

ln (a) - 1 = 0 : a = e

Verify Solutions:

a = 0

False

, a = e

True

The solution is

a = e

Popular Examples

log_{10}(4-3x)=32

lo g_{10} (4 - 3 x) = 32

ln(17x+8)=1

ln (17 x + 8) = 1

log_{x}(2.1127)=23.57

lo g_{x} (2.1127) = 23.57

10log_{10}(x)=1.5

10 lo g_{10} (x) = 1.5

3ln(x-1)-2=4

3 ln (x - 1) - 2 = 4

Frequently Asked Questions (FAQ)

What is the answer to aln(a)-a*1=0 ?
The answer to aln(a)-a*1=0 is a=e
Solve for a: aln(a)-a*1=0
The solution is a=e

aln(a)-a*1=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to aln(a)-a*1=0 ?

Solve for a: aln(a)-a*1=0