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Popular >

solvefor x,c=ya^x

Solution

solve for

x, c = y a^{x}

Solution

x = \frac{ln ( \frac{c}{y} )}{ln ( a )}

Solution steps

c = y a^{x}

Switch sides

y a^{x} = c

Divide both sides by

y

a^{x} = \frac{c}{y}

Apply exponent rules

x ln (a) = ln (\frac{c}{y})

Solve

x ln (a) = ln (\frac{c}{y}) : x = \frac{ln ( \frac{c}{y} )}{ln ( a )}

x = \frac{ln ( \frac{c}{y} )}{ln ( a )}

Popular Examples

solvefor n,y^n=0 solve for

n, y^{n} = 0

2^{x - 3} = 2^{7}

1.0 4^{n} = 1 + 0.1 n

e^{0.05 t} = 2

1 = 0. 2^{x}

Frequently Asked Questions (FAQ)

What is the answer to solvefor x,c=ya^x ?
The answer to solvefor x,c=ya^x is x=(ln(c/y))/(ln(a))