Can someone help me with a math problem involving exponents?

make both sides of the equation into logs.

for example..

√5^x= 4

turns into

log√5^x= log4

and since x is the exponent it becomes

xlog√5 = log4

now you can solve for x.

x(log√5)/(log√5) = log4/(log√5)

x= log4/(log√5)

2^2.5 is additionally written with 2.5 in fraction style: 2^(5/2) In a extra usually happening style, this expression is the comparable as: ?(2^5) = ?32 = 4?2 ***In a fragment exponent, the denominator (backside extensive style) is the degree of the novel. in this occasion, with the aid of fact the denominator right it is two, then the novel has a capability of two, or a sq. root. The numerator (wonderful extensive style) will become the exponent of the backside extensive style, so in this occasion, the extensive style below the novel sign is two^5.