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Popular >

a^x=kb^x

Solution

a^{x} = k b^{x}

Solution

x = \frac{ln ( k )}{ln ( a ) - ln ( b )}

Solution steps

a^{x} = k b^{x}

Apply exponent rules

x ln (a) = ln (k) + x ln (b)

Solve

x ln (a) = ln (k) + x ln (b) : x = \frac{ln ( k )}{ln ( a ) - ln ( b )}

x = \frac{ln ( k )}{ln ( a ) - ln ( b )}

Popular Examples

2^{3x-5}=3^{x+3}

2^{3 x - 5} = 3^{x + 3}

solvefor k,k(x)=x^6e^{5x}solve for

k, k (x) = x^{6} e^{5 x}

(5 x)^{x} = 5^{5^{5}}

10^{log_{10}(x^2)}=4

1 0^{l o g_{10} (x^{2})} = 4

3^{x+4}=5^{x+2}

3^{x + 4} = 5^{x + 2}

Frequently Asked Questions (FAQ)

What is the answer to a^x=kb^x ?
The answer to a^x=kb^x is x=(ln(k))/(ln(a)-ln(b))