Question

find the value of log √a a​

Answer 1

Answer:

loga√a

log a¹+½

loga³/²

(3/2)loga

pls mark brainliest

Answer 2

Hence find the value of log(√a X a​) is 1.5loga

Given

log(√a X a​)

To Find

The value of log(√a X a​)

Solution

There are some properties of log that we have to keep in mind

log(√x) = 1/2logx = 0.5logx

log(pˣ) = xlogp

We are given

log(√a X a)

We know that √a = a⁰°⁵

also, pˣ X pᵇ = p⁽ˣ ⁺ ᵇ⁾

Using these over here we get,

= log(a⁰°⁵ ⁺ ¹)

Adding the powers up we get

= log(a¹°⁵)

Using the first property we stated above we get,

= 1.5loga

Hence find the value of log(√a X a​) is 1.5loga

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