What is the answer to -(ln(p))/(ln(7))-4=0 ?

The answer to -(ln(p))/(ln(7))-4=0 is p= 1/2401

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-(ln(p))/(ln(7))-4=0

- \frac{ln ( p )}{ln ( 7 )} - 4 = 0

p = \frac{1}{2401}

Decimal Notation

p = 0.00041 \dots

Solution steps

- \frac{ln ( p )}{ln ( 7 )} - 4 = 0

Move

4

to the right side

- \frac{ln ( p )}{ln ( 7 )} = 4

Multiply both sides by

ln (7)

- ln (p) = 4 ln (7)

Divide both sides by

- 1

ln (p) = - 4 ln (7)

Apply log rules

p = \frac{1}{2401}

Verify Solutions:

p = \frac{1}{2401}

True

The solution is

p = \frac{1}{2401}

1 + 2 ln (x) = 0

4.74 = - lo g_{10} (x)

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

lo g_{2} (\frac{x}{32000}) = 0.4

lo g_{2} (x + 1) = lo g_{4} (x)

What is the answer to -(ln(p))/(ln(7))-4=0 ?
The answer to -(ln(p))/(ln(7))-4=0 is p= 1/2401
Solve for p: -(ln(p))/(ln(7))-4=0
The solution is p= 1/2401