For a real exponential equation \(a^x=b\), take \(a&gt;0\), \(a\ne1\) and \(b&gt;0\). Equal powers with this common base have equal indices.
To solve equation in which the unknown, \(x\) is the index.
\({{a}^{x}}=b\)
Tip: Change both sides to the same base.

For a real exponential equation \(a^x=b\), take \(a>0\), \(a\ne1\) and \(b>0\). Equal powers with this common base have equal indices.

To solve equation in which the **unknown, \(x\)** is the **index.**

**Tip:** Change both sides to the same base.

Equations involving Indices

Equations involving Indices

Video Solution:

Solution:

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