Question

please give fast it's very important ​

Answer 1

Answer:

Question:

• ${ \sf{ {( {2}^{3} )}^{4} = {( {2}^{2} )}^{x} }}$
• Find Value of x?

Solution:

$\to{ \sf{ {( {2}^{3} )}^{4} = {( {2}^{2} )}^{x} }} \\ \\ \sf\to{ {2}^{12} = {2}^{2x} } \\ \\ \sf{If \: Bases \: \: Are Equal, Then \: Powers \: Are \: Also \: Equal} \\ \\ \to \sf{12 = 2x} \\ \\ \to \sf{x = \frac{12}{2} } \\ \\ \to \sf{x = 6}$

Question:

• $\: { \sf{ {2}^{x - 5} \times {5}^{x - 4} = 5 }}$
• Find Value of x?

Solution:

$\: \to { \sf{ {2}^{x - 5} \times {5}^{x - 4} = 5 }} \\ \\ \to \sf{ \frac{ {2}^{x} }{ {2}^{5} } \times \frac{ {5}^{x} }{ {5}^{4} } = 5 } \\ \\ \to \sf{ {2}^{x} \times {5}^{x} = {5}^{4} \times {5}^{1} \times {2}^{5} } \\ \\ \to \sf{ {2}^{x} \times {5}^{x} = {2}^{5} \times {5}^{5} } \\ \\ \to \sf{ {10}^{x} = {10}^{5} } \\ \\ \to \sf{x = 5}$