limx-0 a^x-b^x/x is equal to
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lim (a^x-b^x)/x
x--->0
=> lim {a^x - 1 -(b^x - 1)}/x
x---->0
=> {lim (a^x-1)/x} - {lim (b^x-1)/x}
x--->0 x--->0
=>lna - lnb
=> ln(a/b)
x--->0
=> lim {a^x - 1 -(b^x - 1)}/x
x---->0
=> {lim (a^x-1)/x} - {lim (b^x-1)/x}
x--->0 x--->0
=>lna - lnb
=> ln(a/b)
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